{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture 11: Variational Auto-Encoders\n",
    "\n",
    "Notebook adapted from [Deep Learning (with Pytorch)](https://github.com/Atcold/pytorch-Deep-Learning) by Alfredo Canziani."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn\n",
    "from torch.nn import functional as F\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision import datasets, transforms\n",
    "\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cpu'"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n",
    "device"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MNIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf = transforms.Compose([\n",
    "    transforms.ToTensor(),\n",
    "])\n",
    "\n",
    "train_loader = torch.utils.data.DataLoader(\n",
    "    datasets.MNIST(\"./data\", train=True, transform=tf),\n",
    "    batch_size=256, shuffle=True)\n",
    "\n",
    "test_loader = torch.utils.data.DataLoader(\n",
    "    datasets.MNIST(\"./data\", train=False, transform=tf),\n",
    "    batch_size=256, shuffle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzYAAAC0CAYAAABG37kPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAhRklEQVR4nO3de1zU5bb48TUgjugBSj2CeMXENC0t81optbfsbWla7tP1V+rulKZYZGa6a5+s01Gzsk6ZaTe1Thc7ZWq385PtBW9Z6vGWpm1NjVJE2wYoCgLP+cOi15c1yMwwM9/vFz7v12v+eBbPzKyBxRcWw/M8HmOMEQAAAABwsSi7EwAAAACAmqKxAQAAAOB6NDYAAAAAXI/GBgAAAIDr0dgAAAAAcD0aGwAAAACuR2MDAAAAwPVobAAAAAC4Ho0NAAAAANejsQEAAADgemFrbGbPni0pKSnSoEED6d69u6xZsyZcTwUo1B/sRP3BbtQg7ET9wS71wvGgCxculMzMTJk9e7ZcccUVMnfuXBk4cKDs2rVLWrdufc77lpeXy6FDhyQuLk48Hk840oMLGWOksLBQkpOTJSrq3P14TepPhBqERv3BbtQg7ET9wU6B1J+YMOjZs6cZPXq0JdaxY0czadKkau+bk5NjRIQbN5+3nJycsNYfNcjtXDfqj5vdN2qQm5036o+bnTd/6i/k79iUlJTI5s2bZdKkSZZ4enq6rF+/Xs0vLi6W4uLiirExRkRErpRrpZ7EhDo9uFSpnJG18pnExcWdc16g9SdCDaJ61B/sRg3CTtQf7ORv/YmE4V/Rjh07JmVlZZKYmGiJJyYmSm5urpo/bdo0efzxx30kFiP1PBQ0fnH2Olft29KB1p8INQg/UH+wGzUIO1F/sJOf9ScSxs0DKj+5McZnQpMnT5b8/PyKW05OTrhSQh3ib/2JUIMIPeoPdqMGYSfqD3YJ+Ts2TZs2lejoaNWZ5+XlqQ5eRMTr9YrX6w11GqijAq0/EWoQoUP9wW7UIOxE/cFuIX/Hpn79+tK9e3fJysqyxLOysqRv376hfjrAgvqDnag/2I0ahJ2oP9gtLNs9jx8/Xu644w65/PLLpU+fPvLKK6/I999/L6NHjw7H0wEW1B/sRP3BbtQg7ET9wU5haWxuvvlm+emnn+SJJ56Qw4cPS5cuXeSzzz6TNm3ahOPpAAvqD3ai/mA3ahB2ov5gJ4/5dV89hygoKJCEhARJkyHshoEKpeaMrJIlkp+fL/Hx8WF9LmoQlVF/sBs1CDtRf7BTIPUXtl3RAAAAACBSaGwAAAAAuB6NDQAAAADXo7EBAAAA4Ho0NgAAAABcj8YGAAAAgOvR2AAAAABwPRobAAAAAK5HYwMAAADA9erZnQAAILLMFd1UbNl/z6/2fmWm3K/HH3eor3781dbn7DB9n378o0f9enwAAHzhHRsAAAAArkdjAwAAAMD1aGwAAAAAuB6NDQAAAADXY/MAF8rL0AtzbxmVZRlPaLxHzfmfUw1VbOK2YSqWODfWMo5ZtinQFBFBUY0a6eAFrVRo99g4y/jO3uvVnEebbvfrOe/JSVOx9VldLOP2r+SoOaU5P/j1+AivAxlGxc6YMst4uY/rRW5pgl+P/1zyGhWLumWdZfz2dc3VnPd7d1Kxsp/z/XpOIFw89fSvSt+91VnFvu2/wDJO+fhuNafDqI2hSwyAwjs2AAAAAFyPxgYAAACA69HYAAAAAHA9GhsAAAAArsfmAQ5i+nRVsUtnb1Oxqc1mBfX4f4wt0rHeb6nYgcut8255/CE1p/EbXwSVA2omqqteXL1vcoyK7bjq9aAe379z5UVeabVK3/fPKyzjJTc3VXMe/fA2FWv1txIVq7d8s5+ZIBitX4lWsT5/y7CME5cFv/nDrLv0piTP/GWuZXx73GE1Z9rcP6pY25v929ACCJe9T12uYt/0e0nFzlTek8N4wpQRgKrwjg0AAAAA16OxAQAAAOB6NDYAAAAAXI81NmGw97neKnbdVdY1A5+u6a7mrB32jIo1i9aH5J0wxSo28dA1lvHWWd3UnON6eYaMuG6Fij3c5BvL2DPsmL7jGzqE8Dv19CkV29H5TRsyqd6QRrpuhtz5gooduV3X8+/es67rav/vX6s55YWFNciubote+b8q1mSldVxag8dv8rpegzeyz58t428HzlVzRnVeq2LLk1JVrDT3SA2yAwKT2DnP7hQA+Il3bAAAAAC4Ho0NAAAAANejsQEAAADgejQ2AAAAAFyPzQNq6PSgniq29IbnVKxjjNcyfu6mL308mt4o4P5DfVTsuxFtVaxs5x7L+DzRi3fP8/GMn29MU7E/PWddWPxoh0/VnJcvuV7Fyrfv9vEMCNZ373RTsa87vxr043X60HoAY9ulenm4x8cJnS+8oQ+E7RBTP+g8KkuM9qrY17dbNxm4KGacmtP+gQ0hywHOkF8Wq2Lm9GkbMkFdVXRjLxV74cIXfczUh9xuKbFeQDu98LOaUxZsYkC4ROlajm7S2DLOG9Jezfm5U+UTaUViWp9UseI8/btt6lhfvwOHBu/YAAAAAHA9GhsAAAAArkdjAwAAAMD1aGwAAAAAuB6bB9TQ0RFFKlZ5owBffizT9xs25SEVa/K2PiHcFO9RsWA1XKQXcD0x4TrLeEGbFWrOX65trGIttocsLYjIv168zq95B0tLVGzIG7qWLnxmm2VcfEUnNaf1k7q22sfoy8STxy5Rsb803XquNGvEROtFinAuTz1dM3067av2fm9u1puldPh5U0hyAvxxqrH+e+8l9fXial9uWTPKMk7dpX9+A+cS3SlVB6N0TVbeMEpExNPjYsv49D83UHNyfq9r+Q9XbVWxF5P/f6VI5bHIzOM611c+TVex1A9PqFg48Y4NAAAAANejsQEAAADgejQ2AAAAAFwv4MZm9erVMnjwYElOThaPxyOLFy+2fNwYI1OmTJHk5GSJjY2VtLQ02blzZ6jyRR23bt066g+2of5gN2oQdqL+4HQBbx5w8uRJ6dq1q4wcOVKGDRumPj5jxgyZOXOmzJ8/Xzp06CBPPvmkDBgwQPbs2SNxcXEhSdouJ27qrWJf9X7ex0x9Kvvx8lOWcfq8iWpOmzfWq5gdS6Y3/a3SovK79OYBJ9vqU+sjoaioqM7WX1VWFekFfO1eO6BipSetJwL/MPKMmpPZZLOKXTL/Pv34C4/rRD7fWnWSNRS/17/Fu+FWl+rP49WboHg8Hr/uu/eJS1Xs47azLONX8tuqOReO0juQsG2EVV2qQTsUtgn+vi0Wx4QuEYei/kLnyLi+Kvb6+OdVrE09/bP6UJn+mdiu3gbLONajfxf112Ubb7eMYz45T81pukD/vtDuzBdBP2eoBNzYDBw4UAYOHOjzY8YYef755+WRRx6RG2+8UUREFixYIImJifLOO+/IqFGjfN4P8NeAAQN8XkxFqD+EH/UHu1GDsBP1B6cL6Rqb/fv3S25urqSn/7bdm9frlf79+8v69frdCBGR4uJiKSgosNyAYARTfyLUIEKD+oPdqEHYifqDE4S0scnNzRURkcTEREs8MTGx4mOVTZs2TRISEipurVq1CmVKqEOCqT8RahChQf3BbtQg7ET9wQnCsita5f/DNsZU+b/ZkydPlvz8/IpbTk5OOFJCHRJI/YlQgwgt6g92owZhJ+oPdgp4jc25JCUlicjZrr158+YV8by8PNXB/8rr9YrXxyJVJzoz/CcV87U4q/JGASIi1z46wTJus6Dqt2XdoNGBkJZOSARTfyLOrcG8Ev8WWg6PP6hi2xfrv3jtv6GFZZz0nn7Nc+67QsXaHtWLAY2Pk+WH/f16y/jD1KU6WT9d/KZ1w4KUWV8G/ViR4qb688To61bpFV0s4/tefU/NGdiw0M9nWFftjN6x+1TshX8bpGLtX/pOxUpzj/iZR93iphp0qjUjnvER1Se4P3hYbyYUt9P6O0JZqJJyCerv3PLGWjcLGH3vEjWnW339szXax++ZTX3sp1Nmyi3jrSV6k6c7Nv9ZxRJfi1WxFhu+tT72z9+oOU7d2CWk79ikpKRIUlKSZGVlVcRKSkokOztb+vbVuz8AoUT9wU7UH+xGDcJO1B+cIOA/u584cUL27t1bMd6/f79s3bpVGjduLK1bt5bMzEyZOnWqpKamSmpqqkydOlUaNmwot912W0gTR9104sQJ+e673/6CS/0hkqg/2I0ahJ2oPzhdwI3Npk2b5Oqrr64Yjx8/XkREhg8fLvPnz5eJEyfKqVOnZMyYMXL8+HHp1auXLFu2jP3LERJbtmyRQYN++3cV6g+RRP3BbtQg7ET9wek8xhhH/ZtcQUGBJCQkSJoMkXoe+w67imrUSMUe3bFGxXr7+LfQygcbiYgkDdX/n+hUR+6zvmW8+eFZas6F745RsQsmbFCxUCk1Z2SVLJH8/HyJj48P2/OIOKcGfbnnW73eYFAjvfbLl6Jy6yFfvdbeq+Y0f1sXdINPvlKxqAb6f87PX279P915bZf5ldfCwuY69oc+lnHpQXsXk9a2+ovqdpGKLf30rZA9/uZiHYvxWFccXFLfv0NXPy/SvxA9tHC4irX9xHoArXy5Qz+Ys37cBaS21aATfPva5Sq2e+DLKhbl47/2O6/WaxVSbt0WmsQciPoLTNENvVTsxZkvWMa5ZfrzOPOOW1SsXr5ety2Hql9naEr0wZ7lRUXV3s+JAqm/sOyKBgAAAACRRGMDAAAAwPVobAAAAAC4Ho0NAAAAANdz3imLDhF1XoKKJUX7WnTVUEUe7/yxir0s7UORVkS0+PCANfCwnhN7QUFEcoHVa/9ynYpNnqQP79rR7zUVaxgVU+2cTb30gu7/nDRAxZp5T6jYs8nVbxaQX16iYs+9cJN+/IPuPsC2NvjmjF54+uKR36nYpje7qljil/r6UB5jra0jvfUGLTePXK5iDzXZpWIDR+oNTWSkdTho9xA15cdlrVWsxVPUWl1VP05fj3xtFAAE6shNp1UsymPdvOSJR0aqOXFf6E2Y6tpBrzXFdzAAAAAA16OxAQAAAOB6NDYAAAAAXI/GBgAAAIDrsXlAFQ7c2VbF2tbTGwX48sDKW1Wsg2ysaUoRc2ho22rnFB0I78nD8K182zcqdsFdui6HtrtDxRq9fMwyfrvd52rO5V69TPGtlP9RMV8LbMtVROu9dLyKpc5m8XbE7ctRoQH3jLaMvT8V6/tt2K5CzUR//YyKiHgqjZO+0HPWvtVSxZb16qdiucP1wtzVfeZYxp90XKLm5HfQ9+sf9ZCKtZxGTQIIXuNPY1Us+5ILLeMPn35Gzbmm40QVa/2Ej4ul8XWVhQjv2AAAAACoBWhsAAAAALgejQ0AAAAA16OxAQAAAOB6bB4QBu3fKrU7hRo5lWhdlBbt0f1vgzx6YqcoLyrSwa93q9CJ33st44fW9VVznm2uTz32JcYTrWJn/FjLaKL1pOjzz1exsuPH/coDwSkvLFQx76f2b3BSduwnFfN+qmNtPtX3vfPSeyzjH/6q52zp9aaKrRzztIr96x+HWfO6Xdd76Q8/6idAnVFWys9AVC3hv/TP0s839rCM5067Us1ZcdcMFRvR7xYVix6mr+FlP+cHkmKtxXcmAAAAANejsQEAAADgejQ2AAAAAFyPxgYAAACA67F5QBUuHqQXX/uy6nSMitXP0Ytd3bSdwJk46wLvMqPPlE/cXBKpdBAqF7W3DPvHf6ymlIv+Wvvia6MAf+67e/BLKjYo9UYVi7nFemkqO3rUr7xQd5ktOy3jFn/SC/67PTxOxbZmvKhiH7a37k7wh473qDkxbB5QZxwrO6Vi7e/YYkMmcLOyPXst41Z3NFJz+j47XsX2Dp6jYhePy1CxVv++vgbZ1R68YwMAAADA9WhsAAAAALgejQ0AAAAA12ONTRWaefXhR76sPXGhipUe+D7U6YRPz4tVaOWwZyzjU0aXifeLPSrm3+oM2OW6/1prGQ9qpNeC+WvA3aNVbMzz71vGQxod8+uxPum4SMV63Hm/Zdz8WdbYIEDlZSrUcvoXKtY1Sq+72TbGuu5m6Xy9NuxPN9ytYmbjjkAyRISVXX2ZZfxi97dsygQQKT95UsXava+vW+WD9aLWko563RfO4h0bAAAAAK5HYwMAAADA9WhsAAAAALgejQ0AAAAA12PzgF9Et0+xjIc3Wehjlv50rT12gYpFSU6o0gqpem1bq1jaG/pApziPtd9Ne/wBNadJoV6EC+fIzeyrYnclPF8p4lFz8sv1wat//I8JKvbPn+mv/7xVnS3jR17roOZ83f9VFfNlzQPPWsYDjulDy85fQA0iQEYvwk1ZcFDFXrrNel0fe94+NWffA/oA0Ha31SA3hN3pxtYDta+OPW1TJrBbVCN9OKa0t/6OVL7tm7DmYPp0VbGoR/JUbHOxvu95KxuEI6VagXdsAAAAALgejQ0AAAAA16OxAQAAAOB6NDYAAAAAXI/NA35RntDQMu5W379PTc7aVirWxgmbB0Tpha27/tpMxZaev1jF5he0s4ybvMoibSfzXNpZxV69/z9VLNqjNwuo7OrZD6lYyzl6gwlfyouKLOP2T+kVjxeV3aNiu655RcUaeKzff7/PXKfmbF7A32XczNdmJqUHvo94HqU//KhiK451tIx9bR6gtyGA051ooX8u+uOaNyaqWGvx77oIZ9ozrYuKLR9i3bQmo+9Nao4pOqViZcePq5iv69vu+5Mt4+cGvanmXNfwhIp1++oOFUt+jd/LqsJvBgAAAABcj8YGAAAAgOsF1NhMmzZNevToIXFxcdKsWTMZOnSo7NmzxzLHGCNTpkyR5ORkiY2NlbS0NNm5c2dIk0bdlZaWRv3BNs8++yzXQNiKayDsRP3B6QJqbLKzs2Xs2LGyYcMGycrKktLSUklPT5eTJ09WzJkxY4bMnDlTZs2aJRs3bpSkpCQZMGCAFBYWhjx51D1333039QfbrFu3jmsgbMU1EHai/uB0HmN8HMXsp6NHj0qzZs0kOztb+vXrJ8YYSU5OlszMTHn44YdFRKS4uFgSExPlqaeeklGjRlX7mAUFBZKQkCBpMkTqeWKqnR8qnu7WBdifLn3Lr/t1fi1Dxdo8FvlFhdHx8Zbx7v/opOb8/caXVWyDjxNtH799pGXs+WJbzZILgVJzRlbJEsnPz5f4X15rOOpPxL4aDNa3r/ZQsd3Xzq72ftfvvkHFom/2sTDy2E/BJeaDrwWVi9Z9WO39/lGmC/XPg+9WsXCdFO2r/kRq1zUw0v7+5mUqFuMtVbELMg6rWNnRoyHLI6qrvlY+vti6qPfS+vpvgGmZY1Tsn/77y5DlVRnXwJqbvG+7ZXxFgzNqzvPHO6jY8hF9VMxs+jp0iblAbau/Yx/rr/NXl71X7f12lOiaeft4bxV7vJm+FngrbYqzr1T/vL32gwdV7MKn96tYae6Rc+ZZ21T1M9iXGq2xyc/PFxGRxo0bi4jI/v37JTc3V9LT0yvmeL1e6d+/v6xf7/uX/eLiYikoKLDcAH+Eov5EqEEEj2sg7MQ1EHai/uBEQTc2xhgZP368XHnlldKly9lt83Jzc0VEJDEx0TI3MTGx4mOVTZs2TRISEipurVrp7ZOBykJVfyLUIILDNRB24hoIO1F/cKqgG5uMjAzZvn27vPvuu+pjnkrnZRhjVOxXkydPlvz8/IpbTo4DzoCB44Wq/kSoQQSHayDsxDUQdqL+4FRBHdA5btw4Wbp0qaxevVpatmxZEU9KShKRs1178+bNK+J5eXmqg/+V1+sVr9cbTBqOUNyyJOLPeSb9chXr/8way/jjJqvUnOWn9Od5/Gt6nUKLL5x98Fgo60/EXTVYr1VLFVv/h+d8zKz+9Rz6XK93ST4Wuq+9x8fntPIBZf46Wu7jUvXdD0E9VihwDay56MP6NX/9/15VsTmr2qnY3DevU7EG/7AuF/Xo5TqSsF+v1cqfqP/tpfKammWnGqk5523Sf4H28ZRhUZevgeG2KKebisXXsfU01akN9Zd0j/6+73n9WMu4MEXfL6qdPkDTl4++6aZiCasbWMbNvsxXcy7YukHFInVdqS0CesfGGCMZGRmyaNEiWbFihaSkWL/qKSkpkpSUJFlZWRWxkpISyc7Olr59+4YmY9RpEyZMoP5gG66BsBvXQNiJ+oPTBfSOzdixY+Wdd96RJUuWSFxcXMX/TCYkJEhsbKx4PB7JzMyUqVOnSmpqqqSmpsrUqVOlYcOGctttt4XlBaBuef/996k/2ObBBx+UDz74gBqEbbgGwk7UH5wuoMbm5ZfPbheclpZmic+bN09GjBghIiITJ06UU6dOyZgxY+T48ePSq1cvWbZsmcTFxYUkYdRt+fn51B9s8/rrr4sI10DYh2sg7ET9wekCamz8OfLG4/HIlClTZMqUKcHmBFSpuj3MqT+Ekz976FODCCeugbAT9QenC2rzgNoo6gfrgW8P5vZUc55N+krFFl6jD7287/ZxKtZkufWApaKuejvDo5fWV7FHR+odR65vpPNYdqqxZdxl/XA1p830chVrsdnZGwWgknL9NfS1sL5xdPUPdfmfdqjY7kP6oLG4g6dVLK97QxU72cL6h49+/fXjL2n1YvWJ+TB06f0qlloYvsMQEX6pr+rF9+mX3ahiyy5apGKj76u+jspFf698d0Yfrtc+pvpFy1P/MkLF/mm/XuQL5/jpLn2oZruYtZUisZFJBo5Telhff5rOtcaahjkHfYVCKNTogE4AAAAAcAIaGwAAAACuR2MDAAAAwPVobAAAAAC4HpsH/KLsSJ5lvPWvPdScw3NWqVj3+noR9boZs1Vs+SnrAtX+sUVqTj3xY8W3iLT/fIyKXfRX6ynsrQ/rhdvV72kHpyv98ZCKjZmgF9bPevoFFetU6TT1Oa1W6Cd42kfMhygffxPxtVg7WKNzrrGM27+nNzCAu5Xt3a9i3mv1BipDm1yrYid6tFGxt16aaRk3j9YLwycfvEHFtu3Uj9Uwx/qjsdVHm9QcrqfOVny+R8UaeHSssqNfN1OxeNkXkpwAhB/v2AAAAABwPRobAAAAAK5HYwMAAADA9WhsAAAAALgemwdUwfvZRhX7l4cnqFjDu/Ri7mWdFqvY72KLK0X0RgH3H9InJW+d3k3FOnyoT1wvVRHUFY0+0PXwl623qFjDeYWW8dvtPg9bTiIiz//jIhWb82V/FWv+N30ZSli63TL2FG0LXWJwLHOmRMVKc4+oWIOPdezuj6/04xn0/Tr4iKm8/HhkOEvyM+tVrG9ipZ/hyXpTkvaT9c9+vv6Ae/CODQAAAADXo7EBAAAA4Ho0NgAAAABcj8YGAAAAgOuxeUAA4t/doIPv6tC1clmQz1B5gwGRRqIXhgPV8XWqe+FV1vH10iNC2fymg+gT3H0pD3MeAOqeCx76oto5bBQAuBvv2AAAAABwPRobAAAAAK5HYwMAAADA9WhsAAAAALgejQ0AAAAA16OxAQAAAOB6NDYAAAAAXI/GBgAAAIDr0dgAAAAAcD0aGwAAAACuR2MDAAAAwPVobAAAAAC4Xj27E6jMGCMiIqVyRsTYnAwco1TOiMhv9RFO1CAqo/5gN2oQdqL+YKdA6s9xjU1hYaGIiKyVz2zOBE5UWFgoCQkJYX8OEWoQGvUHu1GDsBP1Bzv5U38eE4n2OwDl5eVy6NAhiYuLk8LCQmnVqpXk5ORIfHy83akFrKCgwLX5Oy13Y4wUFhZKcnKyREWF9z8of61BY4y0bt3aMZ+DQDntaxgoJ+VvR/25/RropK9fMJyWP9fAwDntaxgIp+VO/QXOaV/DQDkp/0Dqz3Hv2ERFRUnLli1FRMTj8YiISHx8vO2f1Jpwc/5Oyj3cfyX61a81WFBQICLO+hwEg/xDI9L1J1I7roFuzl3EWflzDQyOm/N3Uu7UX3DIPzT8rT82DwAAAADgejQ2AAAAAFzP0Y2N1+uVxx57TLxer92pBMXN+bs591Bx++eA/N3PzZ8DN+cu4v78Q8HtnwM35+/m3EPF7Z8D8reH4zYPAAAAAIBAOfodGwAAAADwB40NAAAAANejsQEAAADgejQ2AAAAAFzPsY3N7NmzJSUlRRo0aCDdu3eXNWvW2J2ST6tXr5bBgwdLcnKyeDweWbx4seXjxhiZMmWKJCcnS2xsrKSlpcnOnTvtSbaSadOmSY8ePSQuLk6aNWsmQ4cOlT179ljmODn/cKMGw48arBr1F37UX9Wov/Cj/s6NGgy/2liDjmxsFi5cKJmZmfLII4/Ili1b5KqrrpKBAwfK999/b3dqysmTJ6Vr164ya9Ysnx+fMWOGzJw5U2bNmiUbN26UpKQkGTBggBQWFkY4Uy07O1vGjh0rGzZskKysLCktLZX09HQ5efJkxRwn5x9O1GBkUIO+UX+RQf35Rv1FBvVXNWowMmplDRoH6tmzpxk9erQl1rFjRzNp0iSbMvKPiJiPPvqoYlxeXm6SkpLM9OnTK2KnT582CQkJZs6cOTZkeG55eXlGREx2drYxxn35hxI1aA9q8Czqzx7U31nUnz2ov99Qg/aoDTXouHdsSkpKZPPmzZKenm6Jp6eny/r1623KKjj79++X3Nxcy2vxer3Sv39/R76W/Px8ERFp3LixiLgv/1ChBu1DDVJ/dqL+qD87UX9nUYP2qQ016LjG5tixY1JWViaJiYmWeGJiouTm5tqUVXB+zdcNr8UYI+PHj5crr7xSunTpIiLuyj+UqEF7UINnUX/2oP7Oov7sQf39hhq0R22pwXp2J1AVj8djGRtjVMwt3PBaMjIyZPv27bJ27Vr1MTfkHw616XW74bVQg1a16TW74bVQf1a16TW74bVQf1ptet1ueC21pQYd945N06ZNJTo6WnWCeXl5qmN0uqSkJBERx7+WcePGydKlS2XlypXSsmXLirhb8g81ajDyqMHfUH+RR/39hvqLPOrPihqMvNpUg45rbOrXry/du3eXrKwsSzwrK0v69u1rU1bBSUlJkaSkJMtrKSkpkezsbEe8FmOMZGRkyKJFi2TFihWSkpJi+bjT8w8XajByqEGN+osc6k+j/iKH+vONGoycWlmDEdumIADvvfeeiYmJMa+//rrZtWuXyczMNI0aNTIHDhywOzWlsLDQbNmyxWzZssWIiJk5c6bZsmWLOXjwoDHGmOnTp5uEhASzaNEis2PHDnPrrbea5s2bm4KCApszN+bee+81CQkJZtWqVebw4cMVt6Kiooo5Ts4/nKjByKAGfaP+IoP68436iwzqr2rUYGTUxhp0ZGNjjDEvvfSSadOmjalfv7657LLLKraec5qVK1caEVG34cOHG2PObpX32GOPmaSkJOP1ek2/fv3Mjh077E36F77yFhEzb968ijlOzj/cqMHwowarRv2FH/VXNeov/Ki/c6MGw6821qDHGGNC894PAAAAANjDcWtsAAAAACBQNDYAAAAAXI/GBgAAAIDr0dgAAAAAcD0aGwAAAACuR2MDAAAAwPVobAAAAAC4Ho0NAAAAANejsQEAAADgejQ2AAAAAFyPxgYAAACA69HYAAAAAHC9/wO9sj+gybqxPwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x200 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch = next(iter(train_loader))\n",
    "x = batch[0][:5]\n",
    "y = batch[1][:5]\n",
    "\n",
    "fig, axs = plt.subplots(1, 5, figsize=(10, 2))\n",
    "\n",
    "for i in range(5):\n",
    "    axs[i].imshow(x[i].squeeze().numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_latent = 32\n",
    "\n",
    "class VAE(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.encoder = nn.Sequential(\n",
    "            nn.Linear(784, 100),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(100, 100),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(100, n_latent * 2)\n",
    "        )\n",
    "\n",
    "        self.decoder = nn.Sequential(\n",
    "            nn.Linear(n_latent, 100),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(100, 100),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(100, 784),\n",
    "            nn.Sigmoid(),\n",
    "        )\n",
    "        \n",
    "    def forward(self, x):\n",
    "        mu_logvar = self.encoder(x.view(-1, 784)).view(-1, 2, n_latent)\n",
    "        mu = mu_logvar[:, 0, :]\n",
    "        logvar = mu_logvar[:, 1, :]\n",
    "        eps = torch.randn(mu.shape).to(device)\n",
    "        z = mu + (logvar.exp() ** 0.5) * eps\n",
    "        return mu, logvar, z, self.decoder(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train(model, optimizer):\n",
    "    model.train()\n",
    "    \n",
    "    for x, _ in train_loader:\n",
    "        x = x.to(device).view(-1, 784)\n",
    "\n",
    "        # ELBO = E_p(eps)[log p(x | z=g(eps, x))] - KL(q(z | x) || p(z))\n",
    "        optimizer.zero_grad()\n",
    "        mu, logvar, z, x_hat = model(x)\n",
    "        loss = F.binary_cross_entropy(x_hat, x, reduce=False).sum(axis=1).mean()\n",
    "        loss += 0.5 * (mu ** 2 + logvar.exp() - logvar - 1).sum(axis=1).mean()\n",
    "        loss.backward()            \n",
    "        optimizer.step()\n",
    "                \n",
    "def test(model, epoch):\n",
    "    model.eval()\n",
    "    \n",
    "    # Evaluate test loss\n",
    "    test_loss = 0\n",
    "    \n",
    "    for x, _ in test_loader:\n",
    "        x = x.to(device).view(-1, 784)\n",
    "        mu, logvar, z, x_hat = model(x)\n",
    "        loss = F.binary_cross_entropy(x_hat, x, reduce=False).sum()\n",
    "        loss += 0.5 * (mu ** 2 + logvar.exp() - logvar - 1).sum()\n",
    "        test_loss += loss \n",
    "        \n",
    "    test_loss /= len(test_loader.dataset)\n",
    "    print(f\"epoch={epoch} test loss={test_loss:.4f}\")\n",
    "    \n",
    "    # Show reconstructions\n",
    "    batch = next(iter(test_loader))\n",
    "    x = batch[0][:5].to(device)\n",
    "\n",
    "    fig, axs = plt.subplots(2, 5, figsize=(10, 4))\n",
    "\n",
    "    for i in range(5):\n",
    "        axs[0, i].imshow(x[i].squeeze().cpu().numpy())\n",
    "        \n",
    "    _, _, _, x_hat = model(x)\n",
    "    \n",
    "    for i in range(5):\n",
    "        axs[1, i].imshow(x_hat[i].view(28, 28).detach().cpu().numpy())\n",
    "        \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=0 test loss=545.8480\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=1 test loss=193.1078\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=2 test loss=173.1316\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=3 test loss=153.5600\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzYAAAFcCAYAAAAavytUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABQEUlEQVR4nO3de3zU1Zn48Wcml8mFZEKAJERuUUEsWFTEC6LSC2npautqW6uuVftrKwLuj2LrZd2ttNsfuLZl3YpoL1Ztd7V2Xbxsa63xAl4oioiCqHjhFoQQAiGZ3DMz5/cHNfbMc5BJmMl3vsnn/XrNH98nZ2bOzDxzvnMy85wTMMYYAQAAAAAfC3rdAQAAAAA4UkxsAAAAAPgeExsAAAAAvsfEBgAAAIDvMbEBAAAA4HtMbAAAAAD4HhMbAAAAAL7HxAYAAACA7zGxAQAAAOB7TGwAAAAA+F7aJjbLly+XqqoqycvLk6lTp8rzzz+frrsCFPIPXiL/4DVyEF4i/+CV7HTc6IMPPigLFiyQ5cuXy5lnnik///nPZfbs2fLmm2/KmDFjPva68Xhcdu3aJUVFRRIIBNLRPfiQMUYikYhUVlZKMPjx8/EjyT8RchAa+QevkYPwEvkHL/Um/8SkwamnnmrmzJljxSZOnGhuuOGGw163trbWiAgXLs5LbW1tWvOPHOTycRfyj4vXF3KQi5cX8o+Ll5dk8i/l39h0dXXJunXr5IYbbrDi1dXVsnr1atW+s7NTOjs7e46NMSIiMkO+INmSk+ruwaei0i0vyONSVFT0se16m38i5CAOj/yD18hBeIn8g5eSzT+RNPwUraGhQWKxmJSXl1vx8vJyqaurU+2XLFkiP/jBDxwdy5HsAAmNvzo4zh32a+ne5p8IOYgkkH/wGjkIL5F/8FKS+SeSxsUDEu/cGOPs0I033ihNTU09l9ra2nR1CYNIsvknQg4i9cg/eI0chJfIP3gl5d/YDB8+XLKystTMvL6+Xs3gRURCoZCEQqFUdwODVG/zT4QcROqQf/AaOQgvkX/wWsq/scnNzZWpU6dKTU2NFa+pqZHp06en+u4AC/kHL5F/8Bo5CC+Rf/BaWpZ7XrhwoVx22WVyyimnyBlnnCG/+MUvZMeOHTJnzpx03B1gIf/gJfIPXiMH4SXyD15Ky8Tmoosukn379skPf/hD2b17t0yePFkef/xxGTt2bDruDrCQf/AS+QevkYPwEvkHLwXMh+vqZYjm5mYJh8MyU77EahjoETXdslIelaamJikuLk7rfZGDSET+wWvkILxE/sFLvcm/tK2KBgAAAAD9hYkNAAAAAN9jYgMAAADA95jYAAAAAPC9tKyKBgAAAMAta1ipir2/fJSKPX76chWLSUDFzltztXU89jbdJrBmg+5IZq0hdsT4xgYAAACA7zGxAQAAAOB7TGwAAAAA+B4TGwAAAAC+x+IBGeScDe0q9qvXzlSx8V9/tT+6AwBpk3VslYq9df1wFTtr8mYVu7zsRRU7O6/LOq5+8wLVJnZHuYoNeeZtFYu3d1jHprtLtYH/mTOmqFj2W9tU7IRnm1RsU9NIFXv3hXHW8VXn/1m1ue/uz6tYxb+v/pheYqCIfnqqdXzu7U+pNtcMfUbFqh5bqGMPxVSseEHEOv7v/75PtfnMD/RtDfvlX3RnfYxvbAAAAAD4HhMbAAAAAL7HxAYAAACA7zGxAQAAAOB7LB7gEXPmiSr2haKfq9i1n3lDxc659BoVC//XmpT0CwDSoXP2NOv4mJvfUm0eHf2QisUlntTtJ7YyRu+6/cGXu1Vs9k2dKvanF062jo/9DuOr3wQLClRs9zdPtI5zqhtUm6aWsSrWvb9RxcYX71Wxgpn2IhPzhuqFL26f9GkVq5w8UcXib+hFLeAjwSwVit9o59s1Q7erNlWPfVvFjv/n91Us1rBPxUoT1iK4uPxLqs2INv2ZMrkR1j/4xgYAAACA7zGxAQAAAOB7TGwAAAAA+B4TGwAAAAC+x+IBHmkZladix+cmN89sPF4XxYaPuEdA8hquOkPFIp9qtY4fPf0u1eb4XF3Qe9LiuSpWtoyduP2s/fxTVWznp+1x6zeVT6g2ixv09e5dPUPFvnr6yyr2w7K11vG+mkrVxozWu3XXdRSp2LMX/sQ6/tK716k2ZcvJ0UwWyM1RsfDWqHW8681hqk1ORJ9fc3+tFxl4/4MOx73asS+dcqVqUfGveiGCxhNHqFhY13jDRzpnn6xiKyf90jr+x13TVJtkFwpIRmxPfZ+u53d8YwMAAADA95jYAAAAAPA9JjYAAAAAfI8aG4+UPPWOit3TNE7FrgxvU7Fvnv+kij31z/p34sDHabvgNBVrOEFvKnbZhU+r2JUlP1axsiy7fiYuIdWm2+gah+uveUDFfvP0Z+3AB3tUm3hbm4qZaFTFkF5Zx1apWMV39e/E82fYvxO/+rZ/UG1MU7O+3hx9mnpi+/Eq9vq3T7COK9fqGhjXpo2tcb093Wsby6zjHy38tWpz+0sXqphZt0nFkH5bbtE1f/943uMqtvSl8dbxcVe9ptqY7i4V6+uoYl7RhTLGHKtiHaX6f8zUzfrbnqm6xivR/75ykopNaND1g+gdvrEBAAAA4HtMbAAAAAD4HhMbAAAAAL7HxAYAAACA77F4gEdi+/arWEM0uQUApuVvVbGn5JNH3CcMHNmjjlKxncuKrePnTrlNtRkS0AX/cTEq9qe2MhW7+d+vOGy/Ws9uUbGfnfKgiu2cbW9Y98x37lVtTn9uvoode/lGFWNBgfTa+RO92fDIGXqMShTdsk3f1o3TVez1uber2MzvzFMxs3bNYe/TteCEy/OR46zjH1esV23+dNd7Kvau3m8P/SCnVW+q+YdJQ1VsgrxiHeuRLf32vaE347xp7kMq9sDLn7cDazakq0s4QoFs/VF6zDk7VCxx8Zyid/gIng58YwMAAADA95jYAAAAAPA9JjYAAAAAfI+JDQAAAADfo3IpgwQdpYxBx9wzGNA7ZWPwMtOnqFjroiYVe3XSfyVE9EIBb3d3qtgF/7lQxY69SxdGlu3UO70nCv5aF5r/+qkZKrb+2mUJkXzVZvXZiW1ELj1TLygQXKULv5E6Xa/rIu1kRD89VcVem68XCoiLHu8+e9PzKrb26XLr2LVAS7I2fXWcddy96hXVJi66YB3pl1VcrGLfvOgJFXtq2VgVizU2pqVPh5I9boyKjTn5AxXb1aXfQw03dVjHw89LXb+QWh2fO0nFVh7/SxW7ZOtnreORSw9/zkTv8Y0NAAAAAN9jYgMAAADA95jYAAAAAPC9Xk9snnvuOTnvvPOksrJSAoGAPPLII9bfjTGyaNEiqayslPz8fJk5c6Zs2rQpVf3FIPfiiy+Sf/AM+QevkYPwEvmHTNfrxQNaW1tlypQpcuWVV8qFF16o/n7rrbfK0qVL5d5775UJEybIj370I5k1a5Zs3rxZioqKUtLpgcpVjOoqnI2bnP7oTkZqa2sb1PnnWijg+t/+p4qdndfluLadX6e++jXVomJOi4qN++AvKhb9mD723FtIL07wwe+qVGx9VeKiBiLxhIU0dsfaVZuv/PP3VKxkle5rKg32/HM55r5dKpZMfvzfnz+Q1O2v79T/f3v2+2eqWP6+l5O6vWRsuWxkym4r1QZ9Dgb1efLoUL2K7Tv3cypW8tv0jg9ZJWHr+F+eeVi1mRbS/W83erz+77s+kxB554j6liqDPv8c9n4yuc9kf3nrGOt4guhFSXDkej2xmT17tsyePdv5N2OM3HbbbXLTTTfJBRdcICIi9913n5SXl8v9998vV1111ZH1FoPerFmznIOpCPmH9CP/4DVyEF4i/5DpUlpjs3XrVqmrq5Pq6uqeWCgUknPOOUdWr3Yva9fZ2SnNzc3WBeiLvuSfCDmI1CD/4DVyEF4i/5AJUjqxqaurExGR8nJ7P4Hy8vKevyVasmSJhMPhnsvo0aNT2SUMIn3JPxFyEKlB/sFr5CC8RP4hE6RlVbRAwP4NqTFGxT504403SlNTU8+ltrY2HV3CINKb/BMhB5Fa5B+8Rg7CS+QfvNTrGpuPU1FRISIHZ+0jR35UfFlfX69m8B8KhUISchQZA73Vl/wT8VcO1p9SqGLuhQK07+w+zTouu2inahNta0vqtrKGlapYw7nHWcc/uflO1eaMkOvnCPqE93KnHfvGf+mFAsb9Jr2FwL01GPLPJbplW8pu6+Z6vYP3A69NU7EJj6ZuoQCXo3/2tnV8Uvs1qs3ZF76a1j70xWDIQdPRqWL7okNU7Jg5b6tY43/nWcfxjo4+96N+7nQV+9HCX1vHY7P1oifVb12iYrnf1f0ve81/u9IPhvw7EuUrU/qRG4eQ0m9sqqqqpKKiQmpqanpiXV1dsmrVKpk+XQ8CQCqRf/AS+QevkYPwEvmHTNDr6WNLS4u89957Pcdbt26V1157TUpLS2XMmDGyYMECWbx4sYwfP17Gjx8vixcvloKCArnkEv1fCqC3WlpaZMuWLT3H5B/6E/kHr5GD8BL5h0zX64nNK6+8Ip/61Kd6jhcuXCgiIpdffrnce++9ct1110l7e7vMnTtXGhsb5bTTTpMnn3xywK5fjv61fv16Offcc3uOyT/0J/IPXiMH4SXyD5kuYIwxh2/Wf5qbmyUcDstM+ZJkBwbXRpRnbdC/9/3esI0q9pcO/VvUJcd8Mi19yhRR0y0r5VFpamqS4uLitN5XpuRg9li9Msz1z/6vip0RiiV1e2e9fpF13P3oiKSut/+0bhVbeFqNis0t2WodJ26yeSgNjs03L7v8H63jrGe9rWcYjPmXatnjxljHJz2yVbV56LEZKjb2+xlQS3XqCSo0/g69YeK703T9R6qQgwcFsvX/Yxuu1HVYHaW6du+LX3vBOn5yud7oddgvdb7Vz9M/o1p5409VrCluj8V///90beDwn2dAPvcB+Xdo7953soqt/NTPVGzO5660jmNvvdvn+wycNEnFtlxnvzfiu/JVm9KN+n1R+oA+v5rO9I1lfdGb/EvLqmgAAAAA0J+Y2AAAAADwPSY2AAAAAHyPiQ0AAAAA32O3ICBDmYI8FSsMuDbjzErq9p6f8qAdmKLbBB2bZSa7CIBro81knOPYfLPqWX8W2OKgwFRd2Lp9Vtg6jp/VqNqMm9CsYpmwus2F9z2tYq+1jHG0RLqZaFTFXAX/rk2E5Wv24enf1kXTL58/XsUuG/uEin1uw2UqVvLFbdbx8Cjj2EATyMlVsQtPWK9iW7p1gXtfFwsIFuqNuc+67xUVe2L45sPf2MU6dMxnrlSx8d/YZB2b7uQ2As8EfGMDAAAAwPeY2AAAAADwPSY2AAAAAHyPiQ0AAAAA32PxgAwSdJTJBh1zz7yA3gk+WFRkHccjkdR1DJ5wFRrevP1LKvbo+D+m7D5/G6lQsY643vn5W+Haw95WS1zvXDz14e+o2HH/+rqKxQ9768hkm+fpHa+Pr9pmB36p8yq+bpOKeaF+rr3T/JXFt6s2/5fFAzJabN9+FVtz/anW8aK7fqXa/EdlcgX/d244W8X2/9ZeNOPYq7fpfh1oSur2kZn2fOsUFXuiYrmKrWxP3fcGW6//pIr9afidKvZ0u72Q0D8t+rZqM/aqd1Ts/c/co2InzplrHZffvvqw/cwUfGMDAAAAwPeY2AAAAADwPSY2AAAAAHyPiQ0AAAAA32PxgAwSd+76rsuop4b0fHT3FSdYx34q9ELyuj9dr2J/l3V6UtdtvHiqdTzsEV2oHZs4VsWaFrWr2P+ZskPFdkbtdjfv+oJqM/4fX1IxFgrwt64anTM3j35Mxe6/crZ1HNinF43IFN+YZy/I8Wx7nmqz/csjHNc8/KIa8E7LSHvBitNCeiEekSwVmbHhKyoWj+vz9bNnL7OOf7HyDNVm7Yn69uEf0SHJtZuz7lIVGysb+3Sfw07dk1S7bz3+Tet4/G/1QhjvDdE5Kf/ytAqNOD9hLNPrp2QsvrEBAAAA4HtMbAAAAAD4HhMbAAAAAL7HxAYAAACA77F4QAZ5es9xKva9YX0rNsMAFY+pkHHEXEp+YxcSBo6qVG0u/c2fVOziouQKF//lg3Ot473TDyR1PWSmrOJiFbt2/YsqVpmlFyq59N+uVbERf0luR/d0ypqkx9jun7Wp2JySddbxk+2Fqk1suH5+ZHvf+4bUMmdMUbEf/suvreNd0U7V5pIbv6tixQ/oRU+KA/r/wnetm24dLxyuc/7yUV9VsejOD1QM/tbVlpuy2zp/VHILrZSt0QtaJGo8xbVghvb7CQ9ax5eO+JJqE9u7N6nb6m98YwMAAADA95jYAAAAAPA9JjYAAAAAfI8amwzS+L9H6eAn+r8fGBwm/2GXil1apDcAFcfGsRdtqVaxyFkNqegWMsSer01SsRl5eiO3f6qboWIj7szMepp3vjFUxZaPXaFiT7cXWMe3X3ShamPW6Q1u4Y2skrCK3f67O1RsU1eZdXzFvIWqTfEf1iR3p0bXNr76bbuu545fRVWbnV/RG9pW/Ds1Nn6Rt9ck1e6W6Q+p2N1SlbJ+PN2uN3otfWqLdZxc9a3b0Cx7DJTg4et3MgXf2AAAAADwPSY2AAAAAHyPiQ0AAAAA32NiAwAAAMD3WDxggJj+9Vet4/dv96gjyAxBXVi4Zcmp1vHDI/7DcUU9JHQaXQC7+X8nqFilsHjAYPTHP5yuYmNFb9rZ31wbb26a+J9JXfcLX59jHWevW3eIlsgErTP0QhHh4OMqtuzyr1jHeatfTmk/zFp7Q+1dnXpRg8jRuqS7IqW9QDqNeGyzim26uV3FzsprUbF7pnzBOo6//lZS93nnys+q2C3Vv9MN2zsOe1slw3W/XKqe+KZ1PGHv+qSulwn4xgYAAACA7zGxAQAAAOB7TGwAAAAA+B4TGwAAAAC+x+IBGSSrQ+9oGzM6FnIUhj/1nl08WSWvp65j8J3Oz5+sYm/+w7KEiM6juOh8m/SH+So24Vbvi8ORXo1T4km1m/flP6rYH24emuruWOrnTlexb8yz+zGnRBf8ux7Rr5qOVrHQhh3W8ZHs4I302/lp/T/aaY8vULEJq9em7k4Deif2Hd8/wzo+K+8Z1ab0df6f7GexfftV7Mv3XKtib121XMXevrrIOp4wRzVxOu76N1Ts+2VfVLGjy1ut4w/mTlZtXj8l8XOAiOs7joJ3c+1A3D+jIO8wAAAAAL7HxAYAAACA7/VqYrNkyRKZNm2aFBUVSVlZmZx//vmyebO9prcxRhYtWiSVlZWSn58vM2fOlE2bNqW00xi8Zs6cSf7BMz/96U8ZA+EpxkB4ifxDpuvVxGbVqlUyb948WbNmjdTU1Eg0GpXq6mppbf3od3233nqrLF26VJYtWyZr166ViooKmTVrlkQikZR3HoPPt771LfIPnnnxxRcZA+EpxkB4ifxDpgsY46hOT9LevXulrKxMVq1aJWeffbYYY6SyslIWLFgg119/vYiIdHZ2Snl5ufzbv/2bXHXVVYe9zebmZgmHwzJTviTZgZy+dm3AuPH9DSp2Zl63ih23Yq51PP6al9LWJy9ETbeslEelqalJiouLRSQ9+Sfivxxs/fJpKvbLn/y7ik3IyTvsbZ32/XkqVrbibRWLNTYm2buBwZV/IgNrDMyaZC9Acu1jD6k2Z+d1qdgJd+vFJcZ+/y996sPOG/WiAF/66gsq9oOyw++CXf3mBSrWtKJSxUbc2be+9jfGwIOy/ub996GbXlupYvN/qvOy7I6+LXrS8tXTVSzwjXoVW3WC/Z75Zu05qs2u0/35AZ/8O7SmS3V+/OL/3aZihYGodfx/5n5HtQn9se8LXGSNGGEdT/pzg2rz4wo9dp60eK6Klf/SXnzFdHb2uV+pcKhzsMsR1dg0NTWJiEhpaamIiGzdulXq6uqkurq6p00oFJJzzjlHVq92DyidnZ3S3NxsXYBkpCL/RMhB9B1jILzEGAgvkX/IRH2e2BhjZOHChTJjxgyZPPngknJ1dXUiIlJeXm61LS8v7/lboiVLlkg4HO65jB49uq9dwiCSqvwTIQfRN4yB8BJjILxE/iFT9XliM3/+fNmwYYM88MAD6m+BhPXdjTEq9qEbb7xRmpqaei61tbV97RIGkVTlnwg5iL5hDISXGAPhJfIPmapPG3Rec8018thjj8lzzz0no0aN6olXVFSIyMFZ+8iRI3vi9fX1agb/oVAoJKFQqC/dwN8Yc9wer7vQb1KZfyL+ysH4jBNV7Ix/elnFjs3Rjydx8825O89Wbcof36pi0UFWT5OMgTgGto2xf7c8I69DtXFtcPkP5z+rYo9NPeGw93dgw3AV2/T12x33qe/V1Y9JK79tHR+7VNcDjVjnj3qawxnMY6A4+nlmnv4f7YmXbVSxtUV2DVfOGXqzxa9U6RqEi8I/UbGY6A/qk371Pet43B9c9TS6X34zqPPPIfxfa1Tse+9/W8Uqb7PPr3/+hd7Ec8b6S1WsdY0eK7uLdXn8t7/wpN2H0vdVmwn3Xa1iVXfocfEIyu8916tvbIwxMn/+fFmxYoU888wzUlVVZf29qqpKKioqpKampifW1dUlq1atkunTdVEo0Fvf/e53yT94hjEQXmMMhJfIP2S6Xn1jM2/ePLn//vvl0UcflaKiop7fTIbDYcnPz5dAICALFiyQxYsXy/jx42X8+PGyePFiKSgokEsuuSQtDwCDy+9//3vyD5659tpr5aGHHiIH4RnGQHiJ/EOm69XE5s477xSRgxs0/a177rlHrrjiChERue6666S9vV3mzp0rjY2Nctppp8mTTz4pRUVFKekwBrempibyD565++67RYQxEN5hDISXyD9kul5NbJL5zV0gEJBFixbJokWL+ton4JAOt4Y5+Yd0SmYNfXIQ6cQYCC+Rf8h0fVo8AP3nrrqZKnbmuBoV+8+J/2kdX/Z5vfFT7hN93/gJ/S8282QV++e771Wxs/KiKiaOwtaJ/2Vvvnnsv76h2sQjh16SEwNbXn2bdfy6rr2XKbk6dv2wTSr2vWFJFEif6Arqss/v7DpLxZ5Yra983PWvWcfxDr34AfzPOF7X5xwv9a9Gr1Kxp79pF3mPyzmg2pRn6Ry8pvYLKnZ52YsqNubPrdaxWev/hQLQR2v05uq7pmdZxzOu+EfVJvereiGor1/8RxX73JA3Vezcv9gLAzx125mqTdVLeqED8fFCAS5HtEEnAAAAAGQCJjYAAAAAfI+JDQAAAADfY2IDAAAAwPdYPCDD7frxsSr2T9/XO8GfV2Lvlhza06baDKzysIEnkGNXZk/4sS4OdC8UoL3Yqf9nMeHf7V2PoxHXrtgYrMw6exGAH8y8QLX5v08/oWKfyu9bkf6klXpn7tIn81Rs2Aq9yMX4iC6AjfepF/CbuGPc+qfvXaVizZc1q1jZf+Rbx11h/RGou0CPnUP//I6K/TQ2Q8UCB15XMaBHPGYdlv76L7rNr3XoDzLUEXMsDCB6wYLBiG9sAAAAAPgeExsAAAAAvsfEBgAAAIDvMbEBAAAA4HssHpDh8h95WcU2PKLbbVDbeOvdwJHZIuefZB3fXnlnUtf7n1ZdWPizf/qaihXufqlvHcOgFN1eq2I/PXaSjvXx9o+R9YdvJCwKgMMr/B89thX+z+Gvl59kLOaIAchMfGMDAAAAwPeY2AAAAADwPSY2AAAAAHyPiQ0AAAAA32PxACBDlLxSZx3//XtfUG3+59g/qtj3X/uiio19iIUCAADA4MI3NgAAAAB8j4kNAAAAAN9jYgMAAADA96ixATJEdOt2+/gc3eZcmapiY2VjuroEAADgG3xjAwAAAMD3mNgAAAAA8D0mNgAAAAB8j4kNAAAAAN9jYgMAAADA95jYAAAAAPA9JjYAAAAAfI+JDQAAAADfy7gNOo0xIiISlW4R43FnkDGi0i0iH+VHOpGDSET+wWvkILxE/sFLvcm/jJvYRCIRERF5QR73uCfIRJFIRMLhcNrvQ4QchEb+wWvkILxE/sFLyeRfwPTH9LsX4vG47Nq1S4qKiiQSicjo0aOltrZWiouLve5arzU3N/u2/5nWd2OMRCIRqayslGAwvb+g/DAHjTEyZsyYjHkOeivTXsPeyqT+e5F/fh8DM+n164tM6z9jYO9l2mvYG5nWd/Kv9zLtNeytTOp/b/Iv476xCQaDMmrUKBERCQQCIiJSXFzs+ZN6JPzc/0zqe7r/S/ShD3OwublZRDLrOegL+p8a/Z1/IgNjDPRz30Uyq/+MgX3j5/5nUt/Jv76h/6mRbP6xeAAAAAAA32NiAwAAAMD3MnpiEwqF5Oabb5ZQKOR1V/rEz/33c99Txe/PAf33Pz8/B37uu4j/+58Kfn8O/Nx/P/c9Vfz+HNB/b2Tc4gEAAAAA0FsZ/Y0NAAAAACSDiQ0AAAAA32NiAwAAAMD3mNgAAAAA8L2MndgsX75cqqqqJC8vT6ZOnSrPP/+8111yeu655+S8886TyspKCQQC8sgjj1h/N8bIokWLpLKyUvLz82XmzJmyadMmbzqbYMmSJTJt2jQpKiqSsrIyOf/882Xz5s1Wm0zuf7qRg+lHDh4a+Zd+5N+hkX/pR/59PHIw/QZiDmbkxObBBx+UBQsWyE033STr16+Xs846S2bPni07duzwumtKa2urTJkyRZYtW+b8+6233ipLly6VZcuWydq1a6WiokJmzZolkUikn3uqrVq1SubNmydr1qyRmpoaiUajUl1dLa2trT1tMrn/6UQO9g9y0I386x/knxv51z/Iv0MjB/vHgMxBk4FOPfVUM2fOHCs2ceJEc8MNN3jUo+SIiHn44Yd7juPxuKmoqDC33HJLT6yjo8OEw2Fz1113edDDj1dfX29ExKxatcoY47/+pxI56A1y8CDyzxvk30HknzfIv4+Qg94YCDmYcd/YdHV1ybp166S6utqKV1dXy+rVqz3qVd9s3bpV6urqrMcSCoXknHPOycjH0tTUJCIipaWlIuK//qcKOegdcpD88xL5R/55ifw7iBz0zkDIwYyb2DQ0NEgsFpPy8nIrXl5eLnV1dR71qm8+7K8fHosxRhYuXCgzZsyQyZMni4i/+p9K5KA3yMGDyD9vkH8HkX/eIP8+Qg56Y6DkYLbXHTiUQCBgHRtjVMwv/PBY5s+fLxs2bJAXXnhB/c0P/U+HgfS4/fBYyEHbQHrMfngs5J9tID1mPzwW8k8bSI/bD49loORgxn1jM3z4cMnKylIzwfr6ejVjzHQVFRUiIhn/WK655hp57LHH5Nlnn5VRo0b1xP3S/1QjB/sfOfgR8q//kX8fIf/6H/lnIwf730DKwYyb2OTm5srUqVOlpqbGitfU1Mj06dM96lXfVFVVSUVFhfVYurq6ZNWqVRnxWIwxMn/+fFmxYoU888wzUlVVZf090/ufLuRg/yEHNfKv/5B/GvnXf8g/N3Kw/wzIHOy3ZQp64Xe/+53Jyckxd999t3nzzTfNggULTGFhodm2bZvXXVMikYhZv369Wb9+vRERs3TpUrN+/Xqzfft2Y4wxt9xyiwmHw2bFihVm48aN5uKLLzYjR440zc3NHvfcmKuvvtqEw2GzcuVKs3v37p5LW1tbT5tM7n86kYP9gxx0I//6B/nnRv71D/Lv0MjB/jEQczAjJzbGGHPHHXeYsWPHmtzcXHPyySf3LD2XaZ599lkjIupy+eWXG2MOLpV38803m4qKChMKhczZZ59tNm7c6G2n/8rVbxEx99xzT0+bTO5/upGD6UcOHhr5l37k36GRf+lH/n08cjD9BmIOBowxJjXf/QAAAACANzKuxgYAAAAAeouJDQAAAADfY2IDAAAAwPeY2AAAAADwPSY2AAAAAHyPiQ0AAAAA32NiAwAAAMD3mNgAAAAA8D0mNgAAAAB8j4kNAAAAAN9jYgMAAADA99I2sVm+fLlUVVVJXl6eTJ06VZ5//vl03RWgkH/wEvkHr5GD8BL5B69kp+NGH3zwQVmwYIEsX75czjzzTPn5z38us2fPljfffFPGjBnzsdeNx+Oya9cuKSoqkkAgkI7uwYeMMRKJRKSyslKCwY+fjx9J/omQg9DIP3iNHISXyD94qTf5JyYNTj31VDNnzhwrNnHiRHPDDTcc9rq1tbVGRLhwcV5qa2vTmn/kIJePu5B/XLy+kINcvLyQf1y8vCSTfyn/xqarq0vWrVsnN9xwgxWvrq6W1atXq/adnZ3S2dnZc2yMERGRGfIFyZacVHcPPhWVbnlBHpeioqKPbdfb/BMhB3F45B+8Rg7CS+QfvJRs/omk4adoDQ0NEovFpLy83IqXl5dLXV2dar9kyRL5wQ9+4OhYjmQHSGj81cFx7rBfS/c2/0TIQSSB/IPXyEF4ifyDl5LMP5E0Lh6QeOfGGGeHbrzxRmlqauq51NbWpqtLGESSzT8RchCpR/7Ba+QgvET+wSsp/8Zm+PDhkpWVpWbm9fX1agYvIhIKhSQUCqW6Gxikept/IuQgUof8g9fIQXiJ/IPXUv6NTW5urkydOlVqamqseE1NjUyfPj3VdwdYyD94ifyD18hBeIn8g9fSstzzwoUL5bLLLpNTTjlFzjjjDPnFL34hO3bskDlz5qTj7gAL+QcvkX/wGjkIL5F/8FJaJjYXXXSR7Nu3T374wx/K7t27ZfLkyfL444/L2LFj03F3gIX8g5fIP3iNHISXyD94KWA+XFcvQzQ3N0s4HJaZ8iVWw0CPqOmWlfKoNDU1SXFxcVrvixxEIvIPXiMH4SXyD17qTf6l5RsbAACAQSVx1a9AcmXMgawsHTTxw17PRKNJ3T4yRNB+nbOGFKomru8aAqFcHXNdt73DDnR1qzbxtjZ9ve4k8igeO3ybDJG25Z4BAAAAoL8wsQEAAADge0xsAAAAAPgeNTYDlWuH38xaJwIA+iaoaxIS6xQCeXrDP9fO5/HOTn37Mfv35CbuGDtdNRCMsd5wvK6uupVAfn7C1RznyRz9sSiQ4yhgz89TIVOQEIs66hJiOhZocdQ9dNj1EsZRL+HMSx/VQgwYrvzL1XUxwZKw3aawQN+WI/9aji9VsVBDl75ult2P3B37dR8c+Rd3xIwj5hd8YwMAAADA95jYAAAAAPA9JjYAAAAAfI+JDQAAAADfY/GAdHAVJCZs1JVVWqKaxMdWqFjkmCIV6yrUt5/VZRcRlq7dq/uwVxeSxSMRFVNFYxTEIhkp3JwukHX465qYo3g7qN8bpstRZElOp5ejuD+YaxdguzaYi4/WY+C+E/Uu0weO03dZMnmffVuOl7hxx1AVG7pB51rJu3bO5L31gWoTb2rWsfZ2fafkWvISxhDX2BAs0AXXZlylih2YXKJikdH2ax3LV02k8+gOFRtW2qJisbgea8aED1jHr28Zpe+gQz+m4S/r2IiX7fN1oKFRtQk6Pms4FxmI6hh5mQTXogDZeiGJrLLhKtZ64lEqtn+ifd2OEfo1KDxev86hHP3ZbeeWYSpW+rqd38Nbhqg2wcYDKiauDWITB1Djn8UE+MYGAAAAgO8xsQEAAADge0xsAAAAAPgeExsAAAAAvsfiAWngLIZO2IXWVTj7wafDKtZxkmNHYqML2kJv2FWQoWZdWDbEUVQYcBS7+nnHWfRCkoWRrkJ+147JiTndfZTeLbn5aF2t2z5M337+PnthgOx2XWQZjDkKL7fpIt/gzj0qFtt/wA6wW3ffJbFQgIhIcJidD93jylSbLX+vd3Mvn6xfv6tHvaZiY3MbrOMOo/uwaZQu6P3fyskq1lBQYh2X5o5WbQpe26FiEtcLWsQ7O3U7Crfd40/CuTOQ76juH+VYZGeCPnfWn6qvakrthQFOPWabanN6yRYV6zY6x88qeEfFEnNuW7kuKr/93Zkq1rZDt+sutcfY3Bb9WUCiURVyLR6AJCUuXuE4HwbDekGnjokjVaz+RH3dnGn2wgBfP3q9anNh8asqtrlbj5X/kfMZFfugxV5Eo3C3/pw5ZH+JigVzdG7Fm+3FUUyXY7EelwwY2/jGBgAAAIDvMbEBAAAA4HtMbAAAAAD4HhMbAAAAAL7H4gFHylEA6WyWUEzbWaWLBbvCuuiqvFTvbt3cEVKx7hy7yDLYrW/LRHRhddxVaJgBxV84BFe+BfT/J1zF26rgf6guuI2W6V3eu4bmqlhnWBfTHjjW7kdHpS5sLR/ToGIhx2IYLZ0Ji20EdE621OvCyKLNJSp21NP6ulkJOe7aRd44CnORHNfiEl1VdgHs9r/TheEnn64Lsi8YoYtpC4K6IL84aBeGl2fp8e5ATPerqlTv6v3GMXaBcNEO/R6LDx+qYtLqKPB2LR4A57iVGAvk6cUkTDC5/8cGuvW4kpNnn+8Ks7pUm/ouPQYGHePPUy2TVGxMwgIWrnw7cECPW0P3OsaotoS+xXTxtulwLUzhKPJ2PdeS0G6wnfeT+OzmXDgnW39sDsT1c9ft+Dx3VJE9Jp1SsPWwfRARqY/qnOyIOvqRsAZO9xDHuFWox91A4wF9p4mPyZVDGbroDt/YAAAAAPA9JjYAAAAAfI+JDQAAAADfo8YmHVwbdIbt30h2DNM1EF3D9e8VXb/tzcnS7aIJoewWR+2Ma+NN1+9x4Y3E3/w6ftPq2vw16PjNbPyYUSrWnFA30FSlb7+zVOdbdITOpbyiVhUbUWz/fviMMv374erijSrm2kgxL2Df577YENXmzyNPULGVheNVbN++Et3XAwn1F44aGyQnEHT8Vt1Rv9V4nJ2n8TEdqs1ZQ99TsZzEH46LSF20RMU2dNtjbFNUvy8OdOuah0iXrlnMH2nnR6NjA8j8en37OTuTe89SvyXuc09CvZ1p1eNMsFGPF/l1uhZn6Fv69WmJ2GPgM/s/cbheiohIIKZzPHeErqcaVmz3t6nNMTZHHBs3tulxN9Bt573p0O8XVx4ZR70H53kHV01RwjnYVYMc6NR1WdE8x3lZN5O2bvu1f6zxJNWmJaprWt/YqzcAbXlDb4BduMvuf16DoxOurzOcNVgJfJRDfGMDAAAAwPeY2AAAAADwPSY2AAAAAHyPiQ0AAAAA32PxgCOV5KZWJsd+qh31sBLo0gWKBTm6+Kskr13F3iy1C8lyGnUb003Bqp+4io4DebrQWUYMU6F9n9QbejWcZiddYVlEtTm7cruK7W7Xt7W7+fAbhr22Xy9gMCa0T8W+UPiWilXl2IsFNMR26fsr0UW4K41ePKArrN9XJmEDU2fBLZLjKDztrtDF9s0JL825E10LSehT0uYOXThb59hE8Q9v2otJBPfo90rQsaZKtFKPsUUldmF4e7GjuNuVM8kU4eIgx7nTxBIL5h0bUDbrcSt3u37eS0Rvgh1qtnMi9p6+Xm5EF0m3lut2kSq9oEndWDt/zT6dg6EmPR5ld+j7DLbYiwXE25I8pydb5J2YqyYzN1vsVyonXQtc6FhORA8sxrGR594Dds48uX+ivl69Xggju9WRM+06ltdo9y27NcnPfK4FYHyMURgAAACA7zGxAQAAAOB7TGwAAAAA+B4TGwAAAAC+x+IBaRBI3EFedKFpMOoonHS8Gt1xXUA+ZegHKvZOa9Vh++Xc7TrJxQ+QYo4cSSzmDOTohAiW6KLs1gl68YDWSn37Rx9bZx1PKtmt2rwXGaFib71fqfvRovuWWOC4d4TOt83hPSr26YLNKrYjau/83hrX/4PZ0aWLg8VRrDtkl6MolrzvG0feZpXp12H7ZwtU7OSz3raOx+frXIgb/Tqvi4xVsZfePlrFhq22F4QortUFvcFuXfi7b5Iu1o2Ms28r1Kwfd8yx23iOa3GPiC52xyEkUbxt2h1F9I68zNmjd3DP2Z9Q3J+rx7HO4fn69oOOhVwcw0q8K6Fdju5/XoO+z9wDjnNzwg73SS8U4BrbXOebOIsFHJZrMZCQfo93F+mFbAKOhUq699jjYtDxkhbs1vdZUK9f02BUv/ahpoTX1LUmgOvzaZ4eA6Wl1XFlf+AbGwAAAAC+x8QGAAAAgO8xsQEAAADge72e2Dz33HNy3nnnSWVlpQQCAXnkkUesvxtjZNGiRVJZWSn5+fkyc+ZM2bRpU6r6i0HuxRdfJP/gGfIPXiMH4SXyD5mu14sHtLa2ypQpU+TKK6+UCy+8UP391ltvlaVLl8q9994rEyZMkB/96Ecya9Ys2bx5sxQVFaWk0xnFVZSXowvJTMiOtVTqYsRgUYeKfaVynYo9sXeyimW3JfSjU++mLQNgd/W2trYBm3+BxN1/HbllhujC1o4SnUvtY3Tl4siCZut4V7teiGDz62NUbPiGw+9wLCLSWWy325ev+9XQqXfr3hItVbGSoL3z+5+ap6g2K97TseHrdF+L3m1SMbMzYeGEJAtpB3L+JSPL8RiaTh+tYsET9HN+UnGtdVyRrdusax2nYpsbylRsxPN6jB3+8j7rONDUotqYQv3+KXXsuh06YN9+u2OdiqyO5HLGpHjcHVQ56CiENzH9vJsufb4LRhzFz/l2kXRXuR6PGifo4vD2cn1TWZN0/mZ32nkTb9ZF2QFHwXhOc6eKmYidv67HnfQiKClcLGVQ5Z9LUaEKNUzR41F0iD5HBhNOy7kH9HcLOS36tcpud9yWIx0CCYtSxfKS+4gfbNLtAln2+dtPnx57PbGZPXu2zJ492/k3Y4zcdtttctNNN8kFF1wgIiL33XeflJeXy/333y9XXXXVkfUWg96sWbOcg6kI+Yf0I//gNXIQXiL/kOlSWmOzdetWqaurk+rq6p5YKBSSc845R1avXu28TmdnpzQ3N1sXoC/6kn8i5CBSg/yD18hBeIn8QyZI6cSmru7gPhnl5fb3tuXl5T1/S7RkyRIJh8M9l9Gj9c8agGT0Jf9EyEGkBvkHr5GD8BL5h0yQllXREjeoNMY4N60UEbnxxhulqamp51JbW+tsBySrN/knQg4itcg/eI0chJfIP3ip1zU2H6eiokJEDs7aR44c2ROvr69XM/gPhUIhCTl2cvWzQIEuUO2sLLaOO0r1m3xYqS527TC6KO0LZRtV7GdyjN2HmGtHYkdsAOlL/ol4lIOuotiEIuNAUP/fITGPRETaKnS7QKe+/dXv2bu1B/bpnbnL1uqulrypi2Q7yvXO8rGQndPxAp1vZ5Rs0ddz7DZ/x+7PWMdr1k3QfX1Jv4dKX9a72Zu6vSoW79TFukfKV/mXDNcHkYoRKvTBZ3SunVGxS8VOyt9mHT8dmaTaPLTpJBUrXK/H0/KNOicDjfbPV1wF5QFHAXbuHj3Gthw11DoONTp2/u7UVeAm7u0YO+ByMEnGVRzvyN+OKnsViF0zHLvIT2xTsYICPV6cUblNxXYnLMiysX2Uvq0G/bEra6/O53hi/vrg/D3Q8i+xgF5EpGv0UBWLOboeH6LHmkCO/RqaFn3FgCOVszt0sDOsz5vBLjvWVazfAzkt+npZLfp8HmhJGHc7HOdMk9wCKv0tpd/YVFVVSUVFhdTU1PTEurq6ZNWqVTJ9+vRU3hWgkH/wEvkHr5GD8BL5h0zQ629sWlpa5L333us53rp1q7z22mtSWloqY8aMkQULFsjixYtl/PjxMn78eFm8eLEUFBTIJZdcktKOY3BqaWmRLVs++q8/+Yf+RP7Ba+QgvET+IdP1emLzyiuvyKc+9ame44ULF4qIyOWXXy733nuvXHfdddLe3i5z586VxsZGOe200+TJJ58cGOuXw3Pr16+Xc889t+eY/EN/Iv/gNXIQXiL/kOkCxvnjVO80NzdLOByWmfIlyQ7o3z5nnKBjo80TdD3A3mkl1nFnif7t4zHnva9iS8Y+rGKvdx6lYj/58des47JH31NtYg0NKpbKjbvSKWq6ZaU8Kk1NTVJcrOtMUsmzHEzIpawRw1QTM0JvZrnnLP2b38YT9G9fc5rt28/f46jz2qh/R5vbqDeOba/Um5TVnW7f/rRPvaXazCh5V8Xedex+98iqU63jMU/qx5O/fruKxQ84NuN01Fr0Nu8HRf4lCOToGqyGK6aq2LFXbFaxxM04RUSaovZvtn/3+jTVJrtO32fl87qWpeDd/SomTRH7OKqvF8jVt981YaSKtY60f/vePE7/artijX5f5L6+VcViBw6oWF/G3cGYg06O2plggaNG4KgKFXvvG/Zmr0dN1bVgZ5fpc+ek/J0qNi5Hn09XtU60ju985rOqzVHPqpAUv/KBisXq6q1j0+0Yx/rRYMy/gKPup32W3hi6tlrnZHisPhe1tieMP9v0eTS/Tt9WdpseL1qPcmwsnDAsRvXNS+4BHSvapcfKIW/aGx6Lo1Y1FomoWLo+U/Ym/9KyKhoAAAAA9CcmNgAAAAB8j4kNAAAAAN9jYgMAAADA91K6QedgFAg6NrGL6eKpgoaE4mejFx2Ii76t43N1UeTaDseCBYm1X65+IaOpzcAcxc+xYl3MWLBXb9zWXq/f2iZo52WXY5GalqN0cXX3BH2fnXoNAzlm+jbr+BNDdqs2b7frQu3HXtQF6WNq7PdLwUZHce3+AypmHBsw+mWBDM8lFGVnlQ1XTfadpJ/fcXH9/7G1B8aq2Prto63jsqd0UXD4Hb1JcaBb53eg27E5ZmKbIbpyNj5UJ33z2DwdG5ew2WxI51As5Pi/oA82URyIAjl6vGs7Rg9S3UPtvHEtFPDF4vUqdryjfr0gqMfKW2rtTZAdp3TJbidHMlbCGBjM12NDa4X+/DW0ap+KnVGhF7d5epu9sFRXrh5XogU6aVr1elFisnUedY6y8zunoFu1ae/U75WOLfocn91mL0qU364XFgq06wVUTFTfZ3+fg/nGBgAAAIDvMbEBAAAA4HtMbAAAAAD4HhMbAAAAAL7H4gFpEGzTBVUFO+2nurtgiGoTN7pobGu3Lqbd0TVRxVTlrKPwHBnEsXt2IDehQrW0RLWJ5+rCxbYR+v8TQV3nJ9GEdSg6R+siv66h+vazKtpU7Kyq91VsZJ690/K7bWWqzarN41Ws7CX9XBRutnc5jjceUG0yoUhxIAnk2sXQHRP1Qg+So5/fV7eM0be1TxdWj3rWLnYdskEvCCExXRBr2tt1zLV4QMJrHyjUC69Ew7pItrVS51/HGHuX90C2ftxZnTpmOhxvPHIy7QKFeqGI7iF6XAyEDn9ejDkq/nMC+rbubdbj29bGYdZxVqtjbO5y9CHL0deEmHEMd0izbP0RuSus8+MTpQ0qVpKjz5u5OfZrH+3StxUtdCxUUqJzpniE/mxYWmjf54h83aalW4+B24bohTb2dhRbx8OD+nyQ39Kq+9rUrGJiHIv6pBHf2AAAAADwPSY2AAAAAHyPiQ0AAAAA32NiAwAAAMD3WDzgCJm4o4DUUTwVGGLvYOsqPB1XuF/F8hw7F7/TqosW8/fbxVmmVReuwSOOhQKCIV3Ap3ZKT1xMQERMUN9W8Q5dWFg/TF+3q8xuFwrrRS6Gj9bFgMeV1KvYBcNfUbEDMbv///Puibqv6/ROzuF3IypmInY/TFeXaoMjEHQsEjGy3DreN1YvACBxnWuBRt3uqOf0IgBD1to7ccccC0JIzFFkmqX7Ko5xVy2+Edd9aDnKsXjAMboqO7/Efm90bdOLveQ0NqmYYdGW9HMU8kuO/igTy3WcPAN23rzfOkI12ZKnz6/7Y/p8eteWs1WsZbO9W/uQWt2HeI4jNkQvdKHOB12O1QPi/VuUPeAl5FYgR59HXc4s0YvptMX1uNjRad9etES/foGY4/NCvh5XEm9LRCRUbLfb267Hrdygvs9woV6gpe44+1w9bKNjwaPEHBWRQMRxPhfHGG4SxucULrLCNzYAAAAAfI+JDQAAAADfY2IDAAAAwPeY2AAAAADwPRYPOFKJBVAi7sLWbrtgK+pYFWBnW4mKPd9xlIq9+P4xKnb0gYTCQlfBravoUhz9Z6fsvnMsFBDI1kV+wZKwvm5BvnUYy0vu7dldoF/XLL0ugEhCUWJOji4iHJKrd07/9NC3VCwvcPhtsLs6dP+Lmhw7uO/XuyNLp90P1yId5GmSHAsFBPP1Ig7dI+3C57ZynctZEX1bxe/rdkXrd6tY4mIBSS8I4VpQwDGWBYydb9GKEtWmeay+3vHH7lCxkfn2AjDPv3uCahM8oPM26uorUirgWCjA5OtFIWIhnZcmar/++zt10f6KvSer2KY9FSoW36jH8CEJG9Bntzl2kc/TORgdmq9iOQk7vwciOt9MJ/mWSoHExXmC+rUyjo9Rr0bGqNie9iIV62qzPwvk7tPjaXex/kwW2KPzuzukc2vzfvvzYumoA6rN2HCjik0t1WPgGwWV1vH2iUerNgXv6QUSAtmO96dr4Ys04hsbAAAAAL7HxAYAAACA7zGxAQAAAOB71Nj0l5j9u8msLv37yNao/r3in/fr33bnvK9/j5vdZG/uGXDU2LhiJuqosUHfOeo+AlmO/x84anHiCZu4usqfslt0XUIoW99W/l59n93F9uvfInrzrpKyOhVrjevf99Z2D1OxFXvs36aHNus8LXnPsXFsRG8KGm9PKBJiI7o+Czo2eg0cpWsGGo+36w06S3Uu50R0Xg3drOuyTJsu8jLdCZvMJVsj5apbc2xUGyy1a4R2nqXz+5jPb1GxU4duU7FVe8dbx8NfT24jZuq+xPl69fm1dtRSBQt0XUz3cP1at4xy5E2OPai+t2e4vq1GXX9Wskl/VMpv0AO0SbjL7kLdh6YqfVuOikvJSShTCzieV+Oon3OOla7XRN0Yuas4NvnN36ufp1frRqlYdpZj882I/doX7tR3GctzfHZz7Pub3eH4DDnSfp3jlfr9U5Ct612OCum6m3eC9ka1rnqxQFQ/xrjrM5BjvDbR9OUb39gAAAAA8D0mNgAAAAB8j4kNAAAAAN9jYgMAAADA91g8IA1M1FHplWcX8LYPcxR1OW5rQ0Olirk2X+yotDeDyq91FBU6CrgoGEy/uGNzqkASmxN2luuMcG0O1l3o2qxQtwt22a9/oEAX/h0/RC8ecHq+Lrj+/YFpKvZu/QjruGin7kT23oiKGdfGc2x02DeuQvtcvShJ1FVsPdt+HQpy9DgW2auv11ahFyfIe8tRAJuwsaJx7NnmKjJ1bTYcHK3Hxe1fHmkdj5xVq9p8evjbKhZ3vKm21tlF5RM26uLaeIte9AK9kMRmxsEhhapNfJx+7fdN0gX/HaN1guWG7Jzu3qsXOBmyXedb+H19WyZL9z8y2r5u20jVRLLadawzrO+zIGyP/8EGvYhLwPFZw4jj3O/aSDxxYQbDmJu4EbRrE+FQs34u9zboPBXHUJa/135tAo6NpwvqXK+VDnWGdbBrgp1cXx23UbU5qWC7isUcY2Cky35PFdQ7+tWhF45x6e/zOd/YAAAAAPA9JjYAAAAAfI+JDQAAAADfY2IDAAAAwPdYPCANnDvNd9vFU0FH4ewHjXr/4eICvVJA22hdMNixzS5KKyh0LEVAsas3HIWbxlF0F0jIEVdhYeQoxy7yjoUCYrpeXKKFdsNjRterNuHsNhVb3XaMir20b5yKZb1iL2Ax9E29UIDsP6BCrgJN5+7ZODzXrs8FukC6YYoeH8aU2sX2Fx/1smrz4sjxKray8ZMqFmoarWIF2xLGtz0Nuq9FenGC1uPLVGz736uQfPqEDdbx50p14Wwkpp+LX207U8WGPWEXzpqtm1UbFrjoBddCAY5FIQK5CePbsBLVpuHkYhVr/KR+LU6YoBePqGuxx6i9LXqgzNunz9+dQ3Vfuwv0Y+oYZse6h+ixv3uIfo/m73VUhwcT+pGtP64FHDFxLSgQd3wmcS0oMNglnHdcC4QU7NTnyNK1etyKjNU3H0hI06Dr1Jejc6GzRMeap+rPhl+ZtN46/mr4FdWmNKjfKw9FJqnY+6/aY/gxu/Vz4Xp+nOfzfsY3NgAAAAB8j4kNAAAAAN/r1cRmyZIlMm3aNCkqKpKysjI5//zzZfNm+yt6Y4wsWrRIKisrJT8/X2bOnCmbNm1KaacxeM2cOZP8g2d++tOfMgbCU4yB8BL5h0zXq4nNqlWrZN68ebJmzRqpqamRaDQq1dXV0tr60e/sbr31Vlm6dKksW7ZM1q5dKxUVFTJr1iyJRBy/twd66Vvf+hb5B8+8+OKLjIHwFGMgvET+IdP1avGAJ554wjq+5557pKysTNatWydnn322GGPktttuk5tuukkuuOACERG57777pLy8XO6//3656qqrUtfzDBZv10VdwYRC8M5SXQz2iXK963tRji4yrxzSpGK7X0go8HYtYODa1dtnLr30UikuPlg86pv8cxR0G0eBZyChWNRZRDhUx7J1uklrpb7P0EQ7b/6uQhdX13fpwtzn9hyrYg0vVajYuKfs28/atU+1iUVaVCxxt+dMtmLFip78E/FHDrpyzVm0mrC99dG5enGJ6RVbVWzELP2B5YHi01Usp7HU7kN3qWrTfbRO5m9PWaliXyx6Xfcjy86jlzqHqTa/qztVxboe1osTlD/xnnUca3dsF+94X/cHX46BibvcH6pZXsg6jhfpRS5aj9JjYN4I/fqMKWhUsUiXfft7Y/q2Gj+hX9ecFt3/rhJdfB8YYedvvMvxuKOuQn7HwgCdCSsMJZlvzvE0hQsF+DL/+shVCJ+1ZZeKDZdKFcuNFKpY09F2vrWX6/zrLtSvX/Yn9Ge+W074g4qdkLvbOj4+V79/tnbrc/BjdXoBmOGv2f3I2qo/n8Za9G15NS7+rSOqsWlqOvhkl5YePEFt3bpV6urqpLq6uqdNKBSSc845R1avXu28jc7OTmlubrYuQDJSkX8i5CD6jjEQXmIMhJfIP2SiPk9sjDGycOFCmTFjhkyePFlEROrqDs7oysvLrbbl5eU9f0u0ZMkSCYfDPZfRo/UyoUCiVOWfCDmIvmEMhJcYA+El8g+Zqs8Tm/nz58uGDRvkgQceUH8LJKxZb4xRsQ/deOON0tTU1HOprdVrzwOJUpV/IuQg+oYxEF5iDISXyD9kqj5t0HnNNdfIY489Js8995yMGjWqJ15RcfB393V1dTJy5MieeH19vZrBfygUCkkoFHL+zRdcG+I5Nh6LD7EfYyxPNZETivVvN6tC+nfuf2iYomIHxttz1KGvOzboHCAbyqUy/0T6IQddm9O5BvlO+/e8xtEmqvcBk9YTdF1CXqH+bfDnx75lHbvqadriesO6+tf0czdyra7byGq0N+uKN+mfE5hufT0/bhTnpzEw7qhrKt6u82N3k50PxQFd31fuqN27fsRLKnbZ59eo2K5YkYolmpKrc2Z4lv6tuoge317rtPv7yL6pqs3Ou3W9WMXTO1Qs2pCweWgG/G78b/luDHRxnCclaMfiBXpD4liefi0mlu1VsVbHLsVHF9l1f9nH6LGnPqIHWder79gDWdo77P7mDNHjXfZa/T4Ib9PvtWCj/b51jZ2u+rmkx9MjyOkBkX/JcDxH8QO63iVru87lYtGP1wTtsaytXI+nMUed4czRW1TsqGxdQ3Z0jp1/DTG9gebDEV1PU/eE/oZszF/sz6Ou83mmjYsf6tU3NsYYmT9/vqxYsUKeeeYZqaqqsv5eVVUlFRUVUlNT0xPr6uqSVatWyfTp01PTYwxq3/3ud8k/eIYxEF5jDISXyD9kul59YzNv3jy5//775dFHH5WioqKe30yGw2HJz8+XQCAgCxYskMWLF8v48eNl/PjxsnjxYikoKJBLLrkkLQ8Ag8vvf/978g+eufbaa+Whhx4iB+EZxkB4ifxDpuvVxObOO+8UkYMbNP2te+65R6644goREbnuuuukvb1d5s6dK42NjXLaaafJk08+KUVFh/8ZAnA4TU1N5B88c/fdd4sIYyC8wxgIL5F/yHS9mtiYJH5PFwgEZNGiRbJo0aK+9gk4pKamJmsfkUTkH9LpcPknQg4ivRgD4SXyD5muT4sH4OMZR5F+MGIXhBVt0wPDbzfpzeMum/Syiu3r0MW0+fX2pDNwQG+a5+oXPBJ0lLfl2G/HjlJdkNg5Qr+GVUc1qNiMEe+r2Jhcu3C2w+jC3J++XK1iw9/WXS18WxfrmoTiwoGyUIDfuV6HvNd1wfzwu8dZx1//1hWqzcxR76nYPwzT+1OMz+5WsbxAwgaujvUzuh3/O9sd1YsfPBSZpGJLX7Bz9+jf61wb9he9sWc0gzbfHKgCjs2hnQuodNuLWmS16kUuirbnq9gbo/QGied+Qm9AHDf2uJsV0DkSDOjXPmZ0X9vadLF7vM5eFSi8UV9v6DttKpazRS+FHG+2z+Gujb8lzjm9v7kWbIjv269iWY52w+rthSkKjx6h2jTEdX6vKRynYns79CIX44vs8/L2Nr0J8ub7J6rYqOd1/+N77NuKd+oFLjLVEW3QCQAAAACZgIkNAAAAAN9jYgMAAADA95jYAAAAAPA9Fg9Ih7ij8HT/Aeswv0EXdcmuPBX6Tfw0FSt6SReXjfyLffuu3XEpiM0gjsLZeKFdjNoZ1m2yh+lC57+reEPFTivQRd7vd5VZx6ub9C7soW26ILbkHb17sTTq/Ercmdi5WAU52P8cBcYxR7Fr/rP26zz6jWGqzeZyXXh69UmnqFjjGbroW730nXpxjECe7mvBWzonRz2jF0c5fsd269hV0Bt37dSO1HK8x43rnBhzLCTSYRcoB7bvVk1GOFadKNirC6mffnuainWV2P0IOuqhjU5LGVKrY+V7df8Ld9oLA2TX6oVdXOfmmKMwW42fjJ0Zy7WgQMxxjgwm5HdeVI93Q/P1Qhj7g0NV7K0hOvZGvn1OL9qi+1q+Vvcr8EG9isUSF6vwUf7xjQ0AAAAA32NiAwAAAMD3mNgAAAAA8D0mNgAAAAB8j8UD0sBE9a7b8Sa72LXglW2qzfhaXaxr8vRLFGxuVrH49p329bp08S484iq6c8SiQ3KtY8em2NLdpAupn2k4TsX2hItVbGurnV+vvjRetal8TRdB5uw+oGKxZr0bvKuAEhnKsaBAvM0ufI5v1zuky3ZdRT3iVT1Glf02V8USBbL19VwLTpguPZ662sXYhT1zOV4bY/QAZ2IJ/2t1vPaB1/XCEUXvFqhY8bqwvv02uyA6UKAX7DEdjhUFXIsfdOtzbLzVXtwl6lpAhTwdHJIYY13nzILVetwtfE0vGGVKivR9JixGEOh05Oi+RhWLtejzuZ8WC0jENzYAAAAAfI+JDQAAAADfY2IDAAAAwPeY2AAAAADwPRYPSAfXzssJhYaxvXv19Rw7ZbvEHEWXfi70GozijgLV0Ht7rOPh0RGqTW6zLiLc/m6Vim0J6Vj5OrsQ97jXt+l+NemFKaLt7SpGvuFDrgJYFpLAYTkXVTl8Yb3r9BdzLKgjrhjgpYScN536c0DMEZMDB3Rs1+4UdUoG3Pmcb2wAAAAA+B4TGwAAAAC+x8QGAAAAgO9RY5NJ2Lhr8HC81rE9dt1VjmPTrOHv6Q3lJKQ3QzQtrfouEzbVjDo2kh1ov7UFAMDXOC/3Ct/YAAAAAPA9JjYAAAAAfI+JDQAAAADfY2IDAAAAwPdYPADIEGoT1wNdjlZN/dMZAAAAn+EbGwAAAAC+x8QGAAAAgO8xsQEAAADgexlXY2P+uhFRVLpF2JMIfxWVg5tJmn7YqIocRCLyD14jB+El8g9e6k3+ZdzEJhKJiIjIC/K4xz1BJopEIhIOh9N+HyLkIDTyD14jB+El8g9eSib/AqY/pt+9EI/HZdeuXVJUVCSRSERGjx4ttbW1Ulxc7HXXeq25udm3/c+0vhtjJBKJSGVlpQSD6f0F5Yc5aIyRMWPGZMxz0FuZ9hr2Vib134v88/sYmEmvX19kWv8ZA3sv017D3si0vpN/vZdpr2FvZVL/e5N/GfeNTTAYlFGjRomISCAQEBGR4uJiz5/UI+Hn/mdS39P9X6IPfZiDzc3NIpJZz0Ff0P/U6O/8ExkYY6Cf+y6SWf1nDOwbP/c/k/pO/vUN/U+NZPOPxQMAAAAA+B4TGwAAAAC+l9ETm1AoJDfffLOEQiGvu9Infu6/n/ueKn5/Dui///n5OfBz30X83/9U8Ptz4Of++7nvqeL354D+eyPjFg8AAAAAgN7K6G9sAAAAACAZTGwAAAAA+B4TGwAAAAC+x8QGAAAAgO9l7MRm+fLlUlVVJXl5eTJ16lR5/vnnve6S03PPPSfnnXeeVFZWSiAQkEceecT6uzFGFi1aJJWVlZKfny8zZ86UTZs2edPZBEuWLJFp06ZJUVGRlJWVyfnnny+bN2+22mRy/9ONHEw/cvDQyL/0I/8OjfxLP/Lv45GD6TcQczAjJzYPPvigLFiwQG666SZZv369nHXWWTJ79mzZsWOH111TWltbZcqUKbJs2TLn32+99VZZunSpLFu2TNauXSsVFRUya9YsiUQi/dxTbdWqVTJv3jxZs2aN1NTUSDQalerqamltbe1pk8n9TydysH+Qg27kX/8g/9zIv/5B/h0aOdg/BmQOmgx06qmnmjlz5lixiRMnmhtuuMGjHiVHRMzDDz/ccxyPx01FRYW55ZZbemIdHR0mHA6bu+66y4Mefrz6+nojImbVqlXGGP/1P5XIQW+QgweRf94g/w4i/7xB/n2EHPTGQMjBjPvGpqurS9atWyfV1dVWvLq6WlavXu1Rr/pm69atUldXZz2WUCgk55xzTkY+lqamJhERKS0tFRH/9T9VyEHvkIPkn5fIP/LPS+TfQeSgdwZCDmbcxKahoUFisZiUl5db8fLycqmrq/OoV33zYX/98FiMMbJw4UKZMWOGTJ48WUT81f9UIge9QQ4eRP55g/w7iPzzBvn3EXLQGwMlB7O97sChBAIB69gYo2J+4YfHMn/+fNmwYYO88MIL6m9+6H86DKTH7YfHQg7aBtJj9sNjIf9sA+kx++GxkH/aQHrcfngsAyUHM+4bm+HDh0tWVpaaCdbX16sZY6arqKgQEcn4x3LNNdfIY489Js8++6yMGjWqJ+6X/qcaOdj/yMGPkH/9j/z7CPnX/8g/GznY/wZSDmbcxCY3N1emTp0qNTU1VrympkamT5/uUa/6pqqqSioqKqzH0tXVJatWrcqIx2KMkfnz58uKFSvkmWeekaqqKuvvmd7/dCEH+w85qJF//Yf808i//kP+uZGD/WdA5mC/LVPQC7/73e9MTk6Oufvuu82bb75pFixYYAoLC822bdu87poSiUTM+vXrzfr1642ImKVLl5r169eb7du3G2OMueWWW0w4HDYrVqwwGzduNBdffLEZOXKkaW5u9rjnxlx99dUmHA6blStXmt27d/dc2traetpkcv/TiRzsH+SgG/nXP8g/N/Kvf5B/h0YO9o+BmIMZObExxpg77rjDjB071uTm5pqTTz65Z+m5TPPss88aEVGXyy+/3BhzcKm8m2++2VRUVJhQKGTOPvtss3HjRm87/VeufouIueeee3raZHL/040cTD9y8NDIv/Qj/w6N/Es/8u/jkYPpNxBzMGCMMan57gcAAAAAvJFxNTYAAAAA0FtMbAAAAAD4HhMbAAAAAL7HxAYAAACA7zGxAQAAAOB7TGwAAAAA+B4TGwAAAAC+x8QGAAAAgO8xsQEAAADge0xsAAAAAPgeExsAAAAAvsfEBgAAAIDv/X/zOTvbWdgD0QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=4 test loss=141.8076\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=5 test loss=133.9911\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=6 test loss=128.6335\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzYAAAFcCAYAAAAavytUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABP7klEQVR4nO3de3zU9ZX4/zMzSSYXJoEASQjhErmqKCpVFEWwlrh0pV7artVtq7ZfKxVsKXVV1t2Vtv7AspXekKpdV2233uripa22ZhUDgihSLAgKco9CCIGQ+3Xm8/sDjX3PeUMmYSaf+SSv5+Mxf3xO3jPznsyZz+SdmXPePsdxHAEAAAAAD/O7PQEAAAAAOFksbAAAAAB4HgsbAAAAAJ7HwgYAAACA57GwAQAAAOB5LGwAAAAAeB4LGwAAAACex8IGAAAAgOexsAEAAADgeSxsAAAAAHhewhY2y5cvl+LiYklPT5dJkybJ6tWrE3VXgEL+wU3kH9xGDsJN5B/ckpKIG33qqadk3rx5snz5crnwwgvlwQcflJkzZ8rWrVtl+PDhJ7xuJBKR/fv3SygUEp/Pl4jpwYMcx5G6ujopLCwUv//E6/GTyT8RchAa+Qe3kYNwE/kHN3Ul/8RJgPPOO8+ZPXu2ERs/frxz5513dnrd8vJyR0S4cLFeysvLE5p/5CCXE13IPy5uX8hBLm5eyD8ubl5iyb+4f2LT2toqGzZskDvvvNOIl5SUyNq1a9X4lpYWaWlp6Th2HEdERC6Sz0uKpMZ7evCodmmT1+VFCYVCJxzX1fwTIQfROfIPbiMH4SbyD26KNf9EEvBVtKqqKgmHw5Kfn2/E8/PzpaKiQo1fvHix/OAHP7BMLFVSfCQ0PnbsPNfpx9JdzT8RchAxIP/gNnIQbiL/4KYY808kgc0Dou/ccRzrhBYsWCA1NTUdl/Ly8kRNCX1IrPknQg4i/sg/uI0chJvIP7gl7p/YDBo0SAKBgFqZV1ZWqhW8iEgwGJRgMBjvaaCP6mr+iZCDiB/yD24jB+Em8g9ui/snNmlpaTJp0iQpLS014qWlpTJlypR43x1gIP/gJvIPbiMH4SbyD25LSLvn+fPny9e+9jX5zGc+IxdccIE89NBDsm/fPpk9e3Yi7g4wkH9wE/kHt5GDcBP5BzclZGFzzTXXyOHDh+WHP/yhHDhwQCZMmCAvvviijBgxIhF3BxjIP7iJ/IPbyEG4ifyDm3zOJ331kkRtba3k5OTIdLmCbhjo0O60yWvyvNTU1Eh2dnZC74scRDTyD24jB+Em8g9u6kr+JeQTGwC9W2Bgroq9/8MxxnHqEV3CN/Lf30jYnAAAQN+WsHbPAAAAANBTWNgAAAAA8DwWNgAAAAA8jxobAF32/n3FKvbBjF8Zx7+tK1Bjnvj3woTNCQAA9G18YgMAAADA81jYAAAAAPA8FjYAAAAAPI+FDQAAAADPo3kAgA5VN1+gYo2fq1exXRc+rMdF2o3jF6vOsNzD4W7PDQDiyR8KqVj1U/kqtu6sZ2K6vTXNEeN44de/oe/z9Xdimxzwsb/sfyemcVPn3GwcZz77ZgJmk/z4xAYAAACA57GwAQAAAOB5LGwAAAAAeB4LGwAAAACeR/OAPmTnf+rC8D98+T4Vu+2z1xnH7bv2JGpKcFHK0EIVe/jOn6nYGWmplmvr/4ksPXKmcVxzEY0C4E07fnu2cbzz0kfUmFOevVnFxszpm8W6XuFLTTOOKx8fosa8NfFJFWtzHBU7GG5SsbPTzNu/87HfqjFLrr1OxeStzTqGPmnHT8+3RN+J6bqr73/QDNwf231+fe/FKrZ7yanGsZcaEfCJDQAAAADPY2EDAAAAwPNY2AAAAADwPBY2AAAAADyP5gF9iJOiCyDHpqar2I4bzYLKkf++J1FTgovev224itkbBWiP1uap2NqvnBkV2d6daaEP2/kTXTibXqX//zb03rVxu89A/xwVWzx5hXEcdiJqzOWT/6piOwbmqlj48JGTmB3i6dCNk4zjt86Jrbr6jIfnqtiI/3hDxbYvP8843nHFA2rMyw/qRgGbLspSsUhDQ0xzQ++y8xqdM4n2mxGrdPB+MzZVdLOUZG0owCc2AAAAADyPhQ0AAAAAz2NhAwAAAMDzqLHpQ7762dVuTwEu2v8vU4zjN770n5ZRGSryuzpdT/P0FXpDr/A2ampwchb843Mqdk1oj4p9/r3vqFjG82916z7f+8+xKnZV1qvG8UeWzRh3XKdr1MKHd3ZrDoi/wODBKnb5HLNuYHNrmxrz9V9+T8VG/FTX09iMv+M943jaKV9SY8rOeEbFzv7dP6vYkCvfUzH0LvlvZMf19mwbbUaz1tPEQG3+KSKXPXtWt24r0fjEBgAAAIDnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ5H84BeylY4eUFWbEVjRStb4z0d9LCGL05WsYU3/Y9xPNCvGwWUvHeligVvDapYeNsH3Z8cICLOBRNV7PNZr6tYnd4bUzIO6GL+WATydSOMH097utPrXfZft6vY8O3x2yQU8Vd+/RgV+8OgvxjHX955uRozZGn3n9dIXZ1xnLWwWI1Z/Tv9Z9f/nPWIii0Y8WXjuH1vebfnheTQeJX5vvybEbogP1a2RgEHL6jt/Ir7u32Xyo6f6g2VR39vXfzuoJv4xAYAAACA57GwAQAAAOB5LGwAAAAAeB4LGwAAAACeR/OABAiMHaVi228yi1aL/9isxvjLNsZtDuU36MLJGRl/UbHDEV2EGyyvNo7DcZsVEmHv02eo2KoLlqpYdLOAcY/PUWNG/+sGFQu30UwC8bfrVp+KDQrohhabWi1noLc2d+s+3/93Xcx9VdZLnV6v+PEDKsZ5MXn4QyEV+9HNv+n0ettf1O+TQ+VQXOYkIiLrNqnQt56+Wc/j+l+p2Hkv7DSO35w6SI0J18ZQLA5XRDcKEBFZfX/3mwVEi6lRgIWt6cBvRsTWWMor+MQGAAAAgOexsAEAAADgeSxsAAAAAHhelxc2q1atklmzZklhYaH4fD557rnnjJ87jiMLFy6UwsJCycjIkOnTp8uWLVviNV/0cWvWrCH/4BryD24jB+Em8g/JrsvNAxoaGmTixIly4403yhe/+EX18yVLlsjSpUvl0UcflbFjx8o999wjM2bMkG3btknIUuDndYHsbBVrXKbLSredfr9xfHbFXDVmSFn85tUwLLbS1kvfvknFCj/YGr+JxFljY2Ofzr8D86eo2BsX/ETFsv26CLvkvSuNY1ujAIdGASfU1/PvZOy/zczdbdOWWUbphgK37/ySiqXIvk7vz3/WaSpWOus+PU4yVezMZeb5uWhH93ejjzdyUDty5QQVm5Wp31C/VW4WThfd97Ya48RvWlZj7te5+/2Sc1RsSYE5ty9kz9I35kLzAPJPszUKKL79vbjd/tQ5uuFEprzZrdtas06fF6WXNQ/o8sJm5syZMnPmTOvPHMeRn/3sZ3LXXXfJ1VdfLSIijz32mOTn58vjjz8uN9+snxygK2bMmGE9mYqQf0g88g9uIwfhJvIPyS6uNTa7d++WiooKKSkp6YgFg0GZNm2arF1r/49XS0uL1NbWGhegO7qTfyLkIOKD/IPbyEG4ifxDMojrwqaiokJERPLz8414fn5+x8+iLV68WHJycjouw4YNi+eU0Id0J/9EyEHEB/kHt5GDcBP5h2SQkK5oPp/5PWnHcVTsEwsWLJCampqOS3l5eSKmhD6kK/knQg4ivsg/uI0chJvIP7ipyzU2J1JQUCAix1btQ4YM6YhXVlaqFfwngsGgBIPBeE4jYayNAp7JVbFXTl+hYtvbmo3jvL82qzEnw5+ebhx/+7P/F9P1mj/Iies83NSd/BNJ3hz0TzxVxdbN/5mKBX3pKvblnZepWNoVh43jCI0C4qq35d/JaPvcJBVb+d3/NI4jovP2iTr9ewpefVTFYmmNsv3r+nw9PEU31djX3qhiI56v6vL9JYO+moO+aw/FNG717lHGcXHb3xIxnRNq//AjFXv+tfNVbMlXzOYBO781XI0Z8R/6ttzUF/LP1ihg9f0Pxu32rY0Cnu1eowCbC89P3uZQ8RLXT2yKi4uloKBASktLO2Ktra1SVlYmU6bobk5APJF/cBP5B7eRg3AT+Ydk0OVPbOrr62XHjh0dx7t375Z33nlHcnNzZfjw4TJv3jxZtGiRjBkzRsaMGSOLFi2SzMxMue666+I6cfRN9fX1smvXro5j8g89ifyD28hBuIn8Q7Lr8sLm7bfflksuuaTjeP78+SIicv3118ujjz4qt99+uzQ1Ncktt9wi1dXVMnnyZHn55Zd7bf9y9KyNGzfK5Zdf3nFM/qEnkX9wGzkIN5F/SHZdXthMnz5dHOf4W1j5fD5ZuHChLFy48GTm5Tq/5UXY9L8DVOyV03Q9jc0VT37fOC5e+Ub3JnYcH95qbvA1f4Bt8ztt4KZEb0cWX1OnTu21+Zdyykjj+E8vPWEZlaYibY6uADiyeKSKBRvWd2te0fVbIiLvLz1TxXzO8YtDT2TR555Wsa+Eqo3jB44OVWNeuOoCFQt/sFvfQSR+FRK9Of+6K5Cfp4MLDqrQgKhNYyvDurblp7/4JxXLq41tc8zwJeY5sOxLeuNaEV1j843t/6xiaVu3x3SfbiAHtYzUtpjGDX5WP/9eEdGnflf0pfzzej2NTV/YoDMhXdEAAAAAoCexsAEAAADgeSxsAAAAAHgeCxsAAAAAnhfXDTp7k73fPUPFNp8WW0H+uCdvUbFR//rWSc/pRBqKIp2OufvQRBXLLd2lYl7ZjK63CzudP6ciIrd8eLGKBV/qvFGAbcNZ3yC94WzB41Uq9tLwh1Qslvk2OXpT0B1tuulA2Ek1jm/K0TtR3/Sqjp32+g0qNnpepYq1H6g40TRxHCkj9SaBh5frqubV45+yXNt8ni99a7YaMWx5bI0C/JmZKvaj/zaLevMDulD8vTZdZJ7xXb0xIOdAb9n/ZqEOWmqkga7Yf3H3GuIcz6inzHPe6GfXxfX2cQyf2AAAAADwPBY2AAAAADyPhQ0AAAAAz2NhAwAAAMDzaB7wsejdsx/95s9to1TknqoJKjbqNsvOsSfYqberAv1zVOzRWQ90er3f/VXvohv4F50CxX8wd3n3l23swuwQE7/OpR3fGNLp1aojTSq25g+6KcQw0UXYgVPHGMdty5rVmD+PX9HpHERE3mnRRdhXr/62cRzamK7GBI/o18Hgso9U7MOriozj86/VObik8FUV23rRoyr247+cqmJlZ3p3B3I3vf9dXaT9/sT7u3Vb3zr1dRX79YLPq1hanb7ukC/uUbFJaeZrKiI617705PdUrHjrGyeYJbxg1M93qNjYfrqJz7iVO41j37AiNWbPV3WDDJuRT3yoYu179nV+Rcu5/4YZr3V6tVOe0S+E+P1VARGRxqvMv5F2XtP531XHE90oQERk9PdoFtAT+MQGAAAAgOexsAEAAADgeSxsAAAAAHgeCxsAAAAAnkfzgI+FD5q7k8/e/FU1Zv2kJ1Ts3wa9q2JXvaYLYLeuH2kch/bEtqasL9Llgdf8gy66vTDY+a7vu//hv1TMtlv87KlTjeN9uucATpL/zHEqtvXGzouwz3/yNhUbdY+lUcCggSp25Yo1xvE3s3Xx6/oWnW/XvX6Tio1ZppsHjHnrryoWi3ZLrOCnZhHunp/qMWc98F0V22FponHHwPdUrEzOiXl++FRGhT5v+SW23bkDPvO6t/bfpcbcOndZ9yZmuX2xnNvSD+m51l53vorlrjZfG+3l+rWC5BE+dEjFxj00QMUO/Jd5Xnz7M4+rMSqPxP4++fDXdeOB3/3L5cZx+h/fUmPqvnyuiv3bIH3eCkedigMV1WqM7dyJ7iu+Xb9XdFfhKlo7uIVPbAAAAAB4HgsbAAAAAJ7HwgYAAACA57GwAQAAAOB5NA84joKvHlCx8Q98Q8X+dvFDKvbs6Bf1DY6Oy7ROyp8bgyr2nbevUbGRvzALbH3yt4TNqa+6/qmXOh3z/YrzVGzc8v0qdsRS/HzJv+iGAtHNAs6+b64aM+R1vbt1d5sCJNrZp+12ewp9TtF9uhj60k03q1j7dw+rWGNrqnF8UaFuHrAgb6WKDQpkxDa5qALviGVf9g3zf6liq5rTVOy2+8zHlLec5gFe0/TzFhV7+7RnjeN2Casx21ubY7r967P3qtiB/89s7PPigGlqzIQ5m1XM1pxg1nazEUGk4mBM80L3/WbEqm5db9RTs1Vs9LPrTnY6CbHzGt2oorfhExsAAAAAnsfCBgAAAIDnsbABAAAA4HnU2BxHuLZWxU657h0V+9xXvqNiFTNbO739z5+2RcW2HC1QsQHBRhX7/ai/dHr752/8iooNvr5KxYoPb+r0thB/XwnpzdaiN2Rb+T+6xmZo3TYVs9XT/CjvHRX72p5Lzdv6tf6ud6RO19gkWtvnJqlYU55Zj1E9Xm+suKr4J5Zb0/UYv6vL6/bcYHLa9ZaAwZfWW2L6ullRx9vOO0ON2f/UGhUbFIhtbmOe/bZxPOIPun4i0KJrGYI7K1Usr1y/ppC8qq+/QMVeHN/5+eGM3+r37+I734jpPiOvDFOxP49/3jj+t3v1Bt42S6vHqJjvm2btl+21h+7b8VNdmyryTrdua/T3krOepvEq2+7q78Tt9pP1cfOJDQAAAADPY2EDAAAAwPNY2AAAAADwPBY2AAAAADyP5gEnKfSkLp4KPdn59T6wxNJEb/i1/Y4peuB3dPOAJsdsWJD22AA1Jnx4e+cTQ9L48o2vqthvBl+iYn/IK43p9u4aam4c++yas7s3MRHxWzY//PVaczO6rLwGNeYrozeo2LU5P1exkSmZnc5h1vYvq1hVY3SJusig22zXtr0C0ZN2fle//ZyZFlungB8fPl3Fxsx9s1vzoCTbW1KKhqrY9Xf8UcUGBfS54LyN5jmj+F/1hrOxqn20SMUCP+78f8W/qxuoYiuvmqhi4V16A1vgRKKbBay+/8G43bZ1E1KheQAAAAAAJAQLGwAAAACex8IGAAAAgOexsAEAAADgeTQPSCKBQbqo8P99/UXLSO2C9d8wjgt/371CWvSM0395i4ptmrvMOF4wcKsas+B6HYvV+NRgp7cfq4BP/0/kjlnvdfPWdKOAf9w2yzhu/kmhGpP+yiYVG9CyX8X0/vNwQ9vnJhnH6y/+pWVUUEV2tzer2Bv/ONpy3Q+7OTN4ycDf16nY7BzdeOeOg+eo2ODZTcZxeyS2s8P2B85Tsb/M/ImKhZ2MTm/r9xWf0df7gEYBOL7opgAiIsW36/fb34zoXrOAr++9WMV2LznVOB79bHI2CrDhExsAAAAAnsfCBgAAAIDndWlhs3jxYjn33HMlFApJXl6eXHnllbJt2zZjjOM4snDhQiksLJSMjAyZPn26bNmyJa6TRt81ffp08g+uue+++zgHwlWcA+Em8g/JrksLm7KyMpkzZ46sW7dOSktLpb29XUpKSqSh4dON+JYsWSJLly6VZcuWyfr166WgoEBmzJghdXX6e7FAV910003kH1yzZs0azoFwFedAuIn8Q7LzOY6jtxCP0aFDhyQvL0/Kysrk4osvFsdxpLCwUObNmyd33HGHiIi0tLRIfn6+/PjHP5abb76509usra2VnJwcmS5XSIovtbtT86TD/+8CFXvzB/erWJPTqmIXLZlvHOf/Ym38JpYE2p02eU2el5qaGsnOzhaRxOSfSA/loF/vsH5wrlkgWHN2ixozYGC9iq2f9ET85hUjW/OAsBMxjq/ZVaLGbNgxQsVG/F7fVsarm43jSLMuIO9JtvwT4RzYFXufPsM43nLhY2rMR+FGFZv2x/kqNvaW7u8Y71W97hzYTTdu040CvhKqVrFTH9QNWop/YRZct5x9ihoz65evqNit/WMr7r91/xTj+MLsD9SYy7N0k4t/uvpb+sbe2qxjLupt+bfjp+er2M5rHujWbY16avbJTuek53Ayps7Rz0vms8nVgOp478E2J1VjU1NTIyIiubm5IiKye/duqaiokJKST/+gCQaDMm3aNFm71v6HdktLi9TW1hoXIBbxyD8RchDdxzkQbuIcCDeRf0hG3V7YOI4j8+fPl4suukgmTJggIiIVFRUiIpKfn2+Mzc/P7/hZtMWLF0tOTk7HZdiwYd2dEvqQeOWfCDmI7uEcCDdxDoSbyD8kq24vbObOnSubNm2SJ57QX4Px+XzGseM4KvaJBQsWSE1NTcelvLy8u1NCHxKv/BMhB9E9nAPhJs6BcBP5h2TVrQ06b731VnnhhRdk1apVUlRU1BEvKCgQkWOr9iFDhnTEKysr1Qr+E8FgUIJBvSlbb5dSoH8fl9yiN0Cy1TJMffsGFettNTUnEs/8E3EpBy0bw0U/h7YZ+1L0S3ZWv0tiusvd3zndOC5+8qAa88E381Rs7E/198udGGpeIk26WHRsy4ZOryciEul8iKs4B55Y1bd0veCWC816wYjo8s4lBy9Vsb5YT9OZXnEOjKPo+j4RkUsv1+ea0f9knvNu7a/raWzvuf9SMUnFVi7XNRoD/+sN4/iVe/5JjfnKjbpu9oN/zlKxMUmc9r0h/wpXWcrLr+nebblRF9NdtnogL22+GYsufWLjOI7MnTtXVqxYIa+++qoUFxcbPy8uLpaCggIpLS3tiLW2tkpZWZlMmTIl+uaALrvtttvIP7iGcyDcxjkQbiL/kOy69InNnDlz5PHHH5fnn39eQqFQx3cmc3JyJCMjQ3w+n8ybN08WLVokY8aMkTFjxsiiRYskMzNTrrvuuoQ8APQtTz/9NPkH13z/+9+XZ555hhyEazgHwk3kH5JdlxY2v/rVr0Tk2AZNf++RRx6RG264QUREbr/9dmlqapJbbrlFqqurZfLkyfLyyy9LKBSKy4TRt9XU1JB/cM3DDz8sIpwD4R7OgXAT+Ydk16WFTSxb3vh8Plm4cKEsXLiwu3MCjquzHubkHxIplh765CASiXMg3ET+Idl1q3kATt7hzxWr2L35L6lYi6OLzEP/feI/rNB7Oe3tKhY+WhPTdYf/0GxOoDNL5JQ7dqqYvkfgxI6cbcsu00uN+j+4u67XG7iKbI/DjNBbbGrUrYBtG3T+vPANFYtuDPBak/4T6Bsv3aRi4277m4oNbNa3D++wbUD59dsvNo5/M2JVT00nLr6+15z/7iWnqjG9rVGAzUlt0AkAAAAAyYCFDQAAAADPY2EDAAAAwPNY2AAAAADwPJoHuKRqZktM46a+o3u/D3g+ibckBtCnpAwrUrE/zvy5ZaS5s/izh/Vu7uGtNArAib3z5VEqNuZbF6qYb1ijimX/X6ZxnL/ygL6tXbqoPNKVCf6dgZt1J9nf1w9UMV/nDWfRAw5eUGscf/2Ni9WYRDcUiG4AICKyZt1pKjb6e7YmAOb8M0Xncl/AJzYAAAAAPI+FDQAAAADPY2EDAAAAwPNY2AAAAADwPJoHuCT4boaKlU7WsUG367Vn53t6A0DP2H3DcBUbm5rW6fW23j9BxfoLu7njxMI7dqvYKbfrWCzaT3YynQg9pQu8H3lqhIqNlt6/G7wXRTcTEBG5TM5K8L3q+yQ/uoZPbAAAAAB4HgsbAAAAAJ7HwgYAAACA57GwAQAAAOB5NA9wSdHitSr208WnWkZuS/xkAKCbhv1In8su/9GkTq9HowAAQLzxiQ0AAAAAz2NhAwAAAMDzWNgAAAAA8DwWNgAAAAA8j4UNAAAAAM9jYQMAAADA81jYAAAAAPA8FjYAAAAAPI+FDQAAAADPY2EDAAAAwPNY2AAAAADwPBY2AAAAADwvxe0JRHMcR0RE2qVNxHF5Mkga7dImIp/mRyKRg4hG/sFt5CDcRP7BTV3Jv6Rb2NTV1YmIyOvyosszQTKqq6uTnJychN+HCDkIjfyD28hBuIn8g5tiyT+f0xPL7y6IRCKyf/9+CYVCUldXJ8OGDZPy8nLJzs52e2pdVltb69n5J9vcHceRuro6KSwsFL8/sd+g/CQHHceR4cOHJ83voKuS7TnsqmSavxv55/VzYDI9f92RbPPnHNh1yfYcdkWyzZ3867pkew67Kpnm35X8S7pPbPx+vxQVFYmIiM/nExGR7Oxs13+pJ8PL80+muSf6v0Sf+CQHa2trRSS5fgfdwfzjo6fzT6R3nAO9PHeR5Jo/58Du8fL8k2nu5F/3MP/4iDX/aB4AAAAAwPNY2AAAAADwvKRe2ASDQbn77rslGAy6PZVu8fL8vTz3ePH674D5e5+XfwdenruI9+cfD17/HXh5/l6ee7x4/XfA/N2RdM0DAAAAAKCrkvoTGwAAAACIBQsbAAAAAJ7HwgYAAACA57GwAQAAAOB5SbuwWb58uRQXF0t6erpMmjRJVq9e7faUrFatWiWzZs2SwsJC8fl88txzzxk/dxxHFi5cKIWFhZKRkSHTp0+XLVu2uDPZKIsXL5Zzzz1XQqGQ5OXlyZVXXinbtm0zxiTz/BONHEw8cvD4yL/EI/+Oj/xLPPLvxMjBxOuNOZiUC5unnnpK5s2bJ3fddZds3LhRpk6dKjNnzpR9+/a5PTWloaFBJk6cKMuWLbP+fMmSJbJ06VJZtmyZrF+/XgoKCmTGjBlSV1fXwzPVysrKZM6cObJu3TopLS2V9vZ2KSkpkYaGho4xyTz/RCIHewY5aEf+9Qzyz4786xnk3/GRgz2jV+agk4TOO+88Z/bs2UZs/Pjxzp133unSjGIjIs6zzz7bcRyJRJyCggLn3nvv7Yg1Nzc7OTk5zgMPPODCDE+ssrLSERGnrKzMcRzvzT+eyEF3kIPHkH/uIP+OIf/cQf59ihx0R2/IwaT7xKa1tVU2bNggJSUlRrykpETWrl3r0qy6Z/fu3VJRUWE8lmAwKNOmTUvKx1JTUyMiIrm5uSLivfnHCznoHnKQ/HMT+Uf+uYn8O4YcdE9vyMGkW9hUVVVJOByW/Px8I56fny8VFRUuzap7PpmvFx6L4zgyf/58ueiii2TChAki4q35xxM56A5y8Bjyzx3k3zHknzvIv0+Rg+7oLTmY4vYEjsfn8xnHjuOomFd44bHMnTtXNm3aJK+//rr6mRfmnwi96XF74bGQg6be9Ji98FjIP1NvesxeeCzkn9abHrcXHktvycGk+8Rm0KBBEggE1EqwsrJSrRiTXUFBgYhI0j+WW2+9VV544QVZuXKlFBUVdcS9Mv94Iwd7Hjn4KfKv55F/nyL/eh75ZyIHe15vysGkW9ikpaXJpEmTpLS01IiXlpbKlClTXJpV9xQXF0tBQYHxWFpbW6WsrCwpHovjODJ37lxZsWKFvPrqq1JcXGz8PNnnnyjkYM8hBzXyr+eQfxr513PIPztysOf0yhzssTYFXfDkk086qampzsMPP+xs3brVmTdvnpOVleXs2bPH7akpdXV1zsaNG52NGzc6IuIsXbrU2bhxo7N3717HcRzn3nvvdXJycpwVK1Y4mzdvdq699lpnyJAhTm1trcszd5xvf/vbTk5OjvPaa685Bw4c6Lg0NjZ2jEnm+ScSOdgzyEE78q9nkH925F/PIP+OjxzsGb0xB5NyYeM4jnP//fc7I0aMcNLS0pxzzjmno/Vcslm5cqUjIupy/fXXO45zrFXe3Xff7RQUFDjBYNC5+OKLnc2bN7s76Y/Z5i0iziOPPNIxJpnnn2jkYOKRg8dH/iUe+Xd85F/ikX8nRg4mXm/MQZ/jOE58PvsBAAAAAHckXY0NAAAAAHQVCxsAAAAAnsfCBgAAAIDnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ7HwgYAAACA57GwAQAAAOB5LGwAAAAAeB4LGwAAAACex8IGAAAAgOclbGGzfPlyKS4ulvT0dJk0aZKsXr06UXcFKOQf3ET+wW3kINxE/sEtKYm40aeeekrmzZsny5cvlwsvvFAefPBBmTlzpmzdulWGDx9+wutGIhHZv3+/hEIh8fl8iZgePMhxHKmrq5PCwkLx+0+8Hj+Z/BMhB6GRf3AbOQg3kX9wU1fyT5wEOO+885zZs2cbsfHjxzt33nlnp9ctLy93RIQLF+ulvLw8oflHDnI50YX84+L2hRzk4uaF/OPi5iWW/Iv7Jzatra2yYcMGufPOO414SUmJrF27Vo1vaWmRlpaWjmPHcURE5CL5vKRIarynB49qlzZ5XV6UUCh0wnFdzT8RchCdI//gNnIQbiL/4KZY808kAV9Fq6qqknA4LPn5+UY8Pz9fKioq1PjFixfLD37wA8vEUiXFR0LjY8fOc51+LN3V/BMhBxED8g9uIwfhJvIPboox/0QS2Dwg+s4dx7FOaMGCBVJTU9NxKS8vT9SU0IfEmn8i5CDij/yD28hBuIn8g1vi/onNoEGDJBAIqJV5ZWWlWsGLiASDQQkGg/GeBvqoruafSC/IQcubhS8Q0LGMDPM4Tf8nzGlq1rdvu61YrhuJ6DHt7THFvKpP5h+SCjkIN5F/cFvcP7FJS0uTSZMmSWlpqREvLS2VKVOmxPvuAAP5BzeRf3AbOQg3kX9wW0LaPc+fP1++9rWvyWc+8xm54IIL5KGHHpJ9+/bJ7NmzE3F3gIH8g5vIP7iNHISbyD+4KSELm2uuuUYOHz4sP/zhD+XAgQMyYcIEefHFF2XEiBGJuDvAQP7BTeQf3EYOwk3kH9zkcz7pq5ckamtrJScnR6bLFXTDQId2p01ek+elpqZGsrOzE3pfnstBamwSjvyD28hBuIn8g5u6kn8J+cQGwMnzpeiXpy3mH5irYk5OPxVrLM4xjuuH6NtqytOLpIjlLJFar2OBFvM4szKsxuS8e0Rfseqovs/qauPYuvixddhJrv/TAOjLOEcBPS5h7Z4BAAAAoKewsAEAAADgeSxsAAAAAHgeNTZAkoiun/Glpakx/hxdNOdkpqtY44gcFWvubzYBOHKmLu735baqWDC9TcWaWi2njnKzOUGgVf/fJJKlN2ELVOtx0b8LJxLj99IdXdcDADGzNWOxnIsDQ4eoWMP4wcZxap2uDUwrP6xizpGjKhaJasbitOvzMPU6fZglT/1Rm5xGWi05YxPpXe+bfGIDAAAAwPNY2AAAAADwPBY2AAAAADyPhQ0AAAAAz6N5QG9l2xjMNsy6q7xZKOm0WTZHdGLbVR7HEePzo/j1/yKcTF2Q72/Tz09bP/Pl7h/Yosb4fLoYNSOoGwo01+v7zCk3H1PWAZ0P/qMNKuY0N+tYdC5Z8o3CWcSF33IOjDov+lL1W6X1vGjhtOnXD1wS9VynFBaoITWTi1Ss8stNKlYyapuKXZRdZhy/UHWWGvPmW+NUrOgVPY9+f9tvHEeOVKsxTos+hzthSyE458qkZN1we8AAFWudMEzF9s7U78GZY48ax6F0nR/7dwxWsQGb9d8Vg/9q7sLt3/WRGhOpt7yfW3Kyp/GJDQAAAADPY2EDAAAAwPNY2AAAAADwPBY2AAAAADyP5gFJzlZcZo2lRxWS5Q1SY8K5WSoW8esi9kjQLLAMNOjdawPVlqKxikP6turrVYxCRjtV9GkrArXEnDSdD639dax6glmAH8rSRfsDMnWR7P7DOfo+m3TBdaDZfF5T63Vxtc9ScB1pdr/YEB4TQ/ON6F24Rew7yPtyslXM6ZdhHLcN1OfOloH6tmxCf6tQsfa95VF3yDkx3nypludn4ljjcMeVITXk4hmbVOzX+aUqNjY1XcUCPvN/xRODf1JjFpyj5/V+7SgVS6/KNW+7sVGNsTbsiVhyyeldO8t7lS/qnBTI1Y0CDv5jsYqd9s0tKvZvea/rcWl1xrHtk4u941JVbPUlY1Xs52tnGMejfjdSjUn7224VC7damqX08PmNT2wAAAAAeB4LGwAAAACex8IGAAAAgOexsAEAAADgeTQP6ClRxa7RO1uL6MIyERHfkDwVaxvaX8Vas82CsIY8ffv1I/S0crfqoq60GrPQMKVeNw+QQ4dVKNKgixspij0O2+8lhoJoydAFqw1FmSpWc4p+/jMKa4zjfpZdiRvbdGFh+xF9nxkV+vYzD5mFrGkHatUYCUd0zMYX/T8Xil/7BMtrwJ+p89tvaY7SPthsAtA0SOdtS3+dt5EUfZ/hqPru+mF6jM/yEs5721LMbXtMGWZzAmsDjQg5HzPL7ziQr3dYf+9r/Yzje2c+rsacn653WM/x67w5HNGNVna1mTm3peUUNSYilnyw1FuH080/zwKWOVgbzDgxnmORWJac9I0xGwNsnd9PjbnnwqdV7Nz0fSqWH9CfS6T7zBNXm6VpxLhUS35kblehtgvMfPvv8svUmFM+yFAxqbG87/dw8wo+sQEAAADgeSxsAAAAAHgeCxsAAAAAnkeNTSLYvu8bMjcC84X0dyudfvq75I2j9AZOkVTLd3TbzC98t+boMe1Z+ruVR8fote3gjea4QJX+zmS4QX+/mO/2nqSouhufJY8cy/dq29P1uOaBugAgP8t8ztoj+rYOfdRfxVJr9LhUy9doFcvmr06z3hRU/Jb/r0TXIKmaGxERS75R0+UZtppCv+W8WHPJaBU7OlrXG6RG7QXsWN7d2nXZjbSFdM60Z0flliWt0iv1HNr66TyNZFtqhJrM94NIk+V8ipjZ6rAO/sNwFfv2pS8bx7Z6mvXNhSr26w+nqti2vQUqlrHTzOnonBQRacnVyeSk61h9kVkvMXCnfr1Yz4uOpc4LPS5leJGKRdfU/Ne0R9SYgoBOmkxLQV+jpQavJqoWVVfMitQ5+n055Ne3dW6Gufnm0+dVqTHtL+taR1+Vrr92WqixAQAAAIAuYWEDAAAAwPNY2AAAAADwPBY2AAAAADyP5gEJ4O9naQxQPNQ4Pjo+R1/Rsj9j1gG9cVtqpS4ui/Qzq2KzM/SatWWgJZarC7CdqJpYp07fn9Nu2bSTwu34smziGs61FFefop/X8BBdpF/XbBaf1lZlqTH9duhyw8wK/bxmHNLPf+ZecwNQadcFg75USzlj0JKDjeZmr7YNbZ12mlV4iT/dPEe1Xni6GrNvRpqKOcN0Locb9FtX5h4ztwZs1/kXCeiTbPU4S0MOs7ZfglU6/wpf1/NKrdYx/1FLBbklnxEj28aHRUNU7MhEfX4I+c3n59VGvYHmj9b/o4oVrtB5eeq2aj23w+Xmcf9sNeTo2brgumqifkxNg828dEK6QYJUWv5osG30zHtzQvmz9HvpruuHqdhPLvof47gwUKfGpPt03laF9fvm+626ecXhsPn3wbZGPWZgaoOKnZqhm2gMTzliHF8xfJMa8/vJn1WxoVt1k4twi2UD4gTiExsAAAAAnsfCBgAAAIDnsbABAAAA4HksbAAAAAB4Hs0DTpIvVRcV+obpQsaDk/sbx41DdIHfkDWWRgGb9qiYY9ml2p9mziM9S+/W3TrQ8nSn6UK19nRznNNk2S2eYsT4iyr69KXq56s5L8MSsxTfh3V+1e43K6IH/lUXMOe+16hiqQeO6ttP0df1tVoaSkRLt+yebWky4O9nFmM6zbEVH9LUIjnYdoJvnnqacTzyB9vUmC9n71KxV4+MV7EtfxqnYsP/ZBa7+tp0XjUP1cXcqQ2WYteo5it5G/Ru7sEPDqqYU68bBYQt509fdIE3ORozWyORpuIBKhYYqM8ZG+uHG8el689UY8Y9WKNiskPnathyTvL5zefV367zJrU+V8XaBunn3xlhnsvqd/VXYzJ37lUxJJilOUPrZH2O+tqXXlGxM4IHjON0n37e32nJU7FHD1yoYpvWj1Kx0O7OP6toGKrvs/i8chWbM/xV43hs+gE1pn6E/tvDN1C/FqW2ttN5xROf2AAAAADwPBY2AAAAADyPhQ0AAAAAz+vywmbVqlUya9YsKSwsFJ/PJ88995zxc8dxZOHChVJYWCgZGRkyffp02bJlS7zmiz5uzZo15B9cQ/7BbeQg3ET+Idl1uXlAQ0ODTJw4UW688Ub54he/qH6+ZMkSWbp0qTz66KMyduxYueeee2TGjBmybds2CYVCllv0EEvRWGBYoYrtuULvLNx8mlnwn/k3XQSe/rd9KhausRRdObpgK3qFGknTa9axY/ar2IE6/ZyktJgxx1IA6ZbGxsZem3++qAYQ4bHD1ZiPpuvnNX2oLlhubdUv7dB6s0h60EZdJBvYf1jFnNZWPddUvROyE10Abdl129dmyaXButjQSTEfp6/RUqhbox+3U6d3co7Ydj3uZrF2b86/7vJbHtfhL05QsZJ5rxvHl4S2qjEvHp2oYrseG6tiI577QMWcxqjGF5ZGFb4hOifFkgoZFea5vt/WSjUmfKhKXzGsGxbYRCLdbxbQ13PQ1piiPVOfF22/4VdXnmUcD19lOR/t1ruwRywNe2znEMeJ+hvB8jfD0VH63Dzr7PUq1u6YTRI25JytxvQLWhpf2M6xTmx5GYu+nn8pBfkqdmS+ft+5KnujiqVGZeWe9n5qzL9uvkrFch/LUrFxf/3QMrmoxhoR/bdi3Vm6udVH43JULN1nNq/IC+jHOPR03UAlPMhyjt2jXweJbJjS5YXNzJkzZebMmdafOY4jP/vZz+Suu+6Sq6++WkREHnvsMcnPz5fHH39cbr755pObLfq8GTNmWE+mIuQfEo/8g9vIQbiJ/EOyi2uNze7du6WiokJKSko6YsFgUKZNmyZr1661XqelpUVqa2uNC9Ad3ck/EXIQ8UH+wW3kINxE/iEZxHVhU1FRISIi+fnmR3X5+fkdP4u2ePFiycnJ6bgMGzYsnlNCH9Kd/BMhBxEf5B/cRg7CTeQfkkFCuqJFbz7mOI7ekOxjCxYskJqamo5LebneKAjoiq7knwg5iPgi/+A2chBuIv/gpi7X2JxIQUGBiBxbtQ8Z8mmBUmVlpVrBfyIYDErQUgCXjGxFY3uu0c0D8j6riw8/3GiOK/rzETUmfFjHJBJb0Z8vw2xGsPsqvWa9ur9uHhBK07sgV9dGFWfGWBDrtu7kn4hLOWg5yfv7mQWCey/VhZYFE/R/vfqn68LWLR8UqVhmlVlIGKhuUGMcW5Gsz/L/D1vzgFxzvu0hy+80oB93Y16airVH7fwe1ncnqU26+HDARt38wP+h/p1FLE0GTpan8q+bbI0Cqr9wuopNuVUXQ5dkbzaO32zUO2e/9uBkFct/YaeK2ZpERDev8BXo18Dh0/Xvue503Rxj4Foz4ZwqfW62NdWwSmCRbLS+kIOSZjkZWH7Fqe/rJgPpUU9j5h79ladIs6XZSIx8AbN4O1Ks/z5I+ZxuOvHVgfprWvvbzaYqG0Q3D0g2vS3/fCn6T+R9/3yKiv3n+IdVrL9fF+5vazML6+/dq+vV85elq1hwyx4Vi9Tp5jm+TPPvwOi/C0VEMg7o9/iGGn2fh8LmXPMC+v6uLtINEv7cfqGeV9TrQiSxTani+olNcXGxFBQUSGlpaUestbVVysrKZMqUKfG8K0Ah/+Am8g9uIwfhJvIPyaDLn9jU19fLjh07Oo53794t77zzjuTm5srw4cNl3rx5smjRIhkzZoyMGTNGFi1aJJmZmXLdddfFdeLom+rr62XXrl0dx+QfehL5B7eRg3AT+Ydk1+WFzdtvvy2XXHJJx/H8+fNFROT666+XRx99VG6//XZpamqSW265Raqrq2Xy5Mny8ssv94r+5XDfxo0b5fLLL+84Jv/Qk8g/uI0chJvIPyS7Li9spk+frjfi+zs+n08WLlwoCxcuPJl5uc5n+b5n9cUjVSwwuVrFUizfrewXvUHRbktxnGXjTevcLN/7bLhwjHF8xXl/VWMuy9msYvcdvUzFUmvN7xg7J7GZXLxNnTq1d+SfpW6l9YyRZuAzegPNS4dsU7Ft9ZbvLvv17yi1LqpWqqlZX8+S974M/f3b8GC9oVfdSPM77c0DLJvm6a/aSoP+Grq09TdfC06a5TWVp2uEakYNVrERf9Dfyfe9Z9ZtOLZNPC16Tf7Fwq+frLbPjFEx31cPqdgtg8pU7EjYzKPl6y5RY8a/pXPemqd+nVv+kWZNzd4vDFRj2s+yfC+9RZ9P++8y88G6yatND9TT9PUctNUNBI+2qdiA7ZYNtVui6rAsm/z6ApbzVljHfNGbIYpIYKBZF/PR+fqP+cuK9PvwQL/OrwcPn2UcpzTpc6A1D2Ksy+2uXp1/UbWv4QvOUENmf+MPKjYhTdd2HrQUhi79sMQ4rl+u6wCzt+xWMadev9eJpW5FX1E/Tz7b33NN+rZCfrMWJ8evX2O5lrqb1sH69amraBMrIV3RAAAAAKAnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ4X1w06e5PIOeNVrP5aXdh6z+nPq9hvKnS/9urWqKJFS0G2z7JhkXVjo1OLVazqRrO47KaBq9WYinA/Fdtfm61iRc3mPHyWDdEizd7YtDNZ+S2/08oJZk5cMnyLGnN6xocqNjZdb0C5daBuKNDS3yz4zxygn/twts7LxiG6GPDoKJ2X7VHp5bPsv9XWTxcutvfXuZQ79KhxPLVwlxozPKg3TXzUpzd4PLS/v4rlV5ix9oqDakxfl5KvGzHsmKXLQB8a+5yKBSw7Jm5pGWqOOWppgjJCn6OCOXojz/qhuslF1eVmk4HLxmxQY7JSdJH2/75yvoqlVZpNYRzLhrrJ01Kl97K9/0mqzpv2dD3O36afIVWAb2kU4MvSG3sGslRIZIBuoNIwdpBx3DhFF30XpemGQ2uaRqrYq++cZhyP26ULtWPeJBYxCeSZ5zzfDyrVmBlZ7+vrWW7rt0cuULEjvxhhHIde3qrGxLpBrM/yOpDWqAL/dP1+bpM+WG/amRcwN0EO+fU5MMuv8y+tWs/f6eFN3vnEBgAAAIDnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ5H84CP+aJ2XP9wuq4WfPqsB1SsyPIbbM5fr2J3TDrFOM6q0AWxaUd1IVbdCF38FfrGRyr2f2OeMI5z/LrIt9nRBWL1R3ShpKQ0Goe2nZ5VkZpIwnc87k18afr5qZti/t6vyn1bjRkc0MWoH7TmqVgoXRfwtWSZxX914weoMU0D9f86anWqSlt/S6OLTDMWOKALvFMadQFiu67BFccxx41K17vbjwvuV7GRA8aq2JbT9R3kv6Ln1udFFci3jCtUQz530d9UbFyqbqqi90gXSY/aubroTN30Ym/uIBXLzNHnxStO0Y0BvjZgnXF80NIsZUX1JBXLfVfnpO+oWTjr2IrYfZb/CzqcA+PJViDdWthfxdqz9HNRN0w/Z5kHzec6UKwbZPjCOgfb+ul5tPTXt3/kNPP2Rxfo9+o2R1/v5SMTVCxrt3mfgapaNaa9zdKhBTHxpVial5w70ji+a/gjakyh5VzwerN+j/nL07opybA/m+fPSGOjGhMzR59lo5tJ+BzdQKP5DH1ev+yUjSoWimoM0Ga5rbV1o1XMX6MfU9hy3UTiExsAAAAAnsfCBgAAAIDnsbABAAAA4HksbAAAAAB4Hs0DPuaPah7gO1cXxA4O6GKtHL9uMvDZDF3UfNu0l4zjFWPO1rcV1EVXY9L1bsM3DFqtYkNSzELZFkcX969rOkXFMnfoInZpj7pPy46ztsI1HIdl13IZogv+c3PMxgD9/brZQ3+/LhZN9cVWQBoOmvOoL9RFkA1DdZFf/zOqVOz0gbrwe81uM7/SK/XjDjSrkIQz9Dwyis389ft0vqX5dKH22f3LVWxzaJiKOWmpZsD2HPVwwaPbfCnm7ySSpv/vtaduoIptzdVNKAKW56s5Yt5+ZqpuCjB53C4VOyVT519J9rsqFvKb9/ls7Rg15k+rdPOAceuPqJgT3RzFb2sUwDkw7qJeh9FNfUREakbpZjaHz9av1Uimfg9sTzdzsL5QN+dpGahvy1LvL75h+v16YH/zvXNy7h41pias57/mfV2EPex987zu1OjmAei+QL5+Dz78DfM9eHxatRrT6Oj3ircbi1Ws6NU6FVPNAk7iPcYJd96oxG95X6sbpv/sH59xQMVy/J3f/ou7Tlex4oq9nV4v0fjEBgAAAIDnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ5H84CP+UJm8X3TvpAa8+rpRSp2SlqlijVG9HWjjc7WO6kfbMpWsUn99uj7TNFFt+Go6sYdlh2J71s/Q8VGrtc71Ps+NAvJwrW6gUFfK6w+GdFF2SIi7QN104ncDLNIOiy68C9s+bXvbdW7Z6en6Oe/qtC8ctjSNyI0VhdLlgx9X8UOWHZabm8xTyd+XbtrLcJtz9JF2OcP3mMcDwzoHMz069xti+g7CNTomC/69cEu8qpJSOpR/fstf224it089EYVC+bqxhdtH5o532+v/p1/MEQn+IwrtqpYbkAXbj9ff6px/NgLn1Vjxj12UMXkoG5OEGkyu1xYC3U5B8adL2pXd2d4gRpTdY7+veeP1e+nAzN0jhwYYr432/ri+Nv1+SI3S99WTZNuPDAkyyzwP9ymz/MtEcufXWE9EX+b+TidsKVZBQ0sYuJL1W92defqv+f+Y8JTxnHI8r5wKKLz7/WqUSrmr9E5E47nOcN2W9HNAjJ0jjaV6KYGUzN3qFh61G2VNQ1RY0J/6qdi4foGFetpfGIDAAAAwPNY2AAAAADwPBY2AAAAADyPGpuPRY6aG3KOflx/T/AHR69VMcvX/K2C1eb3IS37LErdCB07+wt6w8GaiP4+5N528wa/tPJWNWbc/fp7774tO1Us3BL1oPgueewsG2L5UvXLrDlPbzyXGzCfw12tegOx9y1FKrYNOkOpOjFbB0TVCQT08zqtSOdWSfZmFXum/VwVi9bSX8dac/V3woeP03UPM3K2GMfDUo6qMR+165q07fWWjU/ftXyRPvp54rvqIlHfHU/Zp+sHRzyrC6ecVJ2T/ga9E6uvzqyDcLL0RoXbZ+erWCigz1t72nJV7BcrLjeORz+wT41p3683lpVIH6ulShaWc6U/M9M4rh2tX+Mp+bp24caRb6hYluXN+Q+pE43jndWD1JjMoK5hPVCt59G/n87LxnazliMjoF8vVS26LsFWY6NO9RFbjQ3vzbEIDNSbCB84X5+3Tk8zzw/NlveFoxH93r3zbV17OPqjTV2ZYlz4M8xz6t5v6I1ff33OMhUrsqwEGqPeD378wWVqzKA/bFOxcBKcT/nEBgAAAIDnsbABAAAA4HksbAAAAAB4HgsbAAAAAJ5H84CPRRrMZgG+jbooauQWvdFiTJskWcb5B/RXQwKf1d0DDrXqzT6PRvRmU6sbxxrHI5+2zOFv+jFF2i1dDNB9lnywbu5nsa3SLHzfmK3zIRTQRdmpPn375w3Yo2LN482Xe0nee2rMFSFd8Jjr1///iAzYoGI7RpgbhR4YoAtuLy3crWJZKZ134KgI64LbNQ1jVWzjBl0sObxC57hTdSQqQBFudAMFp1nnmuz9SIV8lqJmx/Y6iBrnC+nNC8+fojeDHZ+mm0vcuftqFSt+1twcsf2j/WoMz3OSi9oxs7m/Pvf0D+mi/VXV+lwwKktv2lnfZhZ+H6nWOShVujg8kq5zPJKlXx8TB5ivj7HpullFjqUZxvqj41Usa5d5jopEN/VBzBzL3znOMP38pUe9lzZbThflbQNVLLXW0jQoYNmNOo4CA3RDhPcWjzGOn7nsZ2rMqZY/Y1ss58W/NJ5iHA/4kW72Ej6iN/ROBnxiAwAAAMDzWNgAAAAA8DwWNgAAAAA8j4UNAAAAAM+jecBxOG1692FbzMrWPMBnriF9dfVqSP0wfb0z+5Wr2Eft/VXsF6+Zu8KOf3O7GhOmUYArHEvRZ2iDLmyuHmvuXrwmdIoak5Gqd7I+s78u6J6WrYuwrzplo3E8OKALBgf4M1Us4NP//8gP6Py9ZLDZnKI8pHeHb1fbadt34v5j+1nG8dE2Xbi47g1dcDvsFd1IIWNfjYpFmiyF8TDE/DuKWCps/fpcFhhkFt2+d1eOGvPeiCdVbL/lvLVjnW6sMeq9vxnHtgYGSCLWxjvmuSagT3fSP10X3/dP1bGwo89bKT6zCcDwgiNqTLlfn7fSUvR5ZeIgfQ4vyd5szsuv5/XT6hIVy92iQiKV5txibUIDC0uuZYcaO71auuVPuVSfPh+19rc0lxinz1GBbXujpqXn5cvU73WHLxulYtfc/hcVe7r/S8ZxP3+6GlMT0Tm5ol7/rbFsmdmgJe/NN9SYZG3Gwic2AAAAADyPhQ0AAAAAz+vSwmbx4sVy7rnnSigUkry8PLnyyitl2zbz6yeO48jChQulsLBQMjIyZPr06bJli+1zVqDrpk+fTv7BNffddx/nQLiKcyDcRP4h2XVpYVNWViZz5syRdevWSWlpqbS3t0tJSYk0/N3mlkuWLJGlS5fKsmXLZP369VJQUCAzZsyQurq6uE8efc9NN91E/sE1a9as4RwIV3EOhJvIPyQ7n3MSFZaHDh2SvLw8KSsrk4svvlgcx5HCwkKZN2+e3HHHHSIi0tLSIvn5+fLjH/9Ybr755k5vs7a2VnJycmS6XCEpPssWqV7lN4umA6NHqiHb79Y7td88cZWK/d/BU/XNf88swI68+4GeQ8S7xYftTpu8Js9LTU2NZGcf+z0lIv9EeiYHfSm6b4e/2Gwe8OEXCtSYunG6mnbo8MMqNq5/pYpdM+hN4/i0NL1rcH+/ntfRiC6W/GP9OBV7aMdFxnFNrW5E4FSn6ZiliYG/2fyfS84Huooz723dwMC/40N9+5bmDZHmqFgnrw1b/on0snNg1DnKl6pzwWdrjGLZYdvXT+/ofvAKswD2oQU/V2MmBXV+LD2iC1tLv3KeikXe1Q0zepPedg608Wea54zGSyeoMYeu10XfJcX6uR+fcUDFDraZDSs2HB2uxmSm6CZBo7MOqVhxUMey/OZ55fXasWrMymcnqdiwUv1Hv2/LTuM40th5sXsieTn/fMGgin10q34eHp5jnpPGper3vr3t+hz4Ut0ZKvbYtskq1tJsPpa8gbVqzI0jdZH+1f3033MD/LrJQHSjnxZH/73wf00hFbvnP25QsZyn3zaOHZebTx3vPdjmpGpsamqOdRvKzT3WRWT37t1SUVEhJSWfdv0IBoMybdo0Wbt2rfU2WlpapLa21rgAsYhH/omQg+g+zoFwE+dAuIn8QzLq9sLGcRyZP3++XHTRRTJhwrH/qlRUVIiISH5+vjE2Pz+/42fRFi9eLDk5OR2XYcOGdXdK6EPilX8i5CC6h3Mg3MQ5EG4i/5Csur2wmTt3rmzatEmeeOIJ9bPorys4jmP/CoOILFiwQGpqajou5eV63xYgWrzyT4QcRPdwDoSbOAfCTeQfklW3Nui89dZb5YUXXpBVq1ZJUVFRR7yg4FhNQEVFhQwZMqQjXllZqVbwnwgGgxK0fP+xt/Gnmd+tbB+kNyUMWDYBe6VSb0JY9ZT+b0b+vq1mwMP1NJ2JZ/6JuJODtu+rhnfsNo6HPqS/w+3P1t+PDRcMULEdhaep2B0jzjSOj07Qc/D3s+yIV6V/N1n79P9EMqrMWplhh/Ttp9XqehfbJl8pR81NxHzV+qsJkeqjOmb5vVo3tjvJjcV65Tkw+pwRsdTOZOkN33xZup6m/CsjVewLX1ttHA9L0bm2qlnX2Dz0v/+gYiO3va1ifUlvOAfaRNe+Ze3QdYCV7w5Wsfdz9WPLS9V1K5kB8/Yvz9sU07yq2vR5d23NaBV7c7+5KWPbe7oWYPhqvUGiP2rjRhGRcJMelyy8ln9Om35fGLKmQcV+f51Zu/evg9eoMaNT9Hnxxv7vqNg3J+tYY9T7To5f31amT58DU336HBt29KagVWHzMS2unKrGvHP72SqWvXK9ijke/huyS5/YOI4jc+fOlRUrVsirr74qxcXFxs+Li4uloKBASktLO2Ktra1SVlYmU6ZMic+M0afddttt5B9cwzkQbuMcCDeRf0h2XfrEZs6cOfL444/L888/L6FQqOM7kzk5OZKRkSE+n0/mzZsnixYtkjFjxsiYMWNk0aJFkpmZKdddd11CHgD6lqeffpr8g2u+//3vyzPPPEMOwjWcA+Em8g/JrksLm1/96lcicmyDpr/3yCOPyA033CAiIrfffrs0NTXJLbfcItXV1TJ58mR5+eWXJRTSH+UCXVVTU0P+wTUPP/ywiHAOhHs4B8JN5B+SXZcWNrFseePz+WThwoWycOHC7s4JOK7OepiTf0ikWHrok4NIJM6BcBP5h2TXreYB6ISl+4cvw9xMqbFQF+G2f6Svt+9d3WRgZJnefDFcqzcrhMdE/eMgYtmp2RaTj/arUPpGXZSYEbWRYkG6Ltb0BWIru3NaLU0GIlHFjLaNGy0xsWwEKVHFnmHL5nROxPKPFg8XPCYdS3Gq7TmtP7tIx0bo52F0+kHjeH3LQDVmbtlXVezUX25TsXCb3kQRvUDU6zeya58aMuJ5XVxd9ZHeaPOJz+eo2Ol5Zsvh+jZ9Djyrv97k938/OEvFwjv1e3O/PebxsHU1aoxvz0f6tup1IfvJNjjB37G8LwQ27VCxVx463zg+63s6/6ak60YP+QFbwb8+V+qM1Pyi/w6siehGEn9p1Bt4L/ztXOO4+Nc71ZiUig0xzMLbTmqDTgAAAABIBixsAAAAAHgeCxsAAAAAnsfCBgAAAIDn0Tygh/iiCrUdvy4QG/Cejg1+S++87Hx4QN8BRdP4e5Z8iN5J2Il3AXZ00wxfbP83sTYUiCpcd8KW/Ka4NrFsz8sAXf760TQ97vMX/FXFjoYzjeMl75aoMeN+1axi4cNHTjRL9GJOS4uK+d79QMXyK3JVLPzOYBX7aNgY47h2uM7dwwdHqFjBEb1zfcZu3cTHV2c2AQgf0e/fkVbLeZdzWY+LNOiGDXmPmOet5Ue+rMb88Iu6kc13zlipYqk+/Z41Ks1soFLR3l+NeaN2tIq99swkFRvxO93EYHjFW8Zxe7vO276AT2wAAAAAeB4LGwAAAACex8IGAAAAgOexsAEAAADgeTQP6CGRqJ2Fs8r1TrLZ71sKJcsPqljEUlAJuC66ANaJraGFY9vhnmJa1zltlsJTv/5fWPCIbnqyZn+xir149HTjePiTunDb9+5mPQ9yAX/H1vSk/UCFHmiJZb5t5mpmjA1OopuZiIjEdHYjdz0lullFv6fXqTH9fq/Pdy/48lTMn5aq7yAQdV60nE+dZv333dC2tSrWN9sCxIZPbAAAAAB4HgsbAAAAAJ7HwgYAAACA57GwAQAAAOB5NA9IBEvBoNNkNgsIvLtLX8+yu3rYUkhm21Ue8CwKbJOTpWDaOaB3Wx/5pC5jbVo/SMUKqqIapmzfo8ZEmptjnx/QVd1scAJ0sL1fWfIo0kxuuYVPbAAAAAB4HgsbAAAAAJ7HwgYAAACA51Fj00OcdvN76E5dnUszAYAYWL5LHrGctyINjSqWumefHhfD7QMAcDL4xAYAAACA57GwAQAAAOB5LGwAAAAAeB4LGwAAAACeR/MAAED3sWEwACBJ8IkNAAAAAM9jYQMAAADA81jYAAAAAPC8pKuxcT7etK1d2kTYvw0fa5c2Efk0PxKJHEQ08g9uIwfhJvIPbupK/iXdwqbu452tX5cXXZ4JklFdXZ3k5OQk/D5EyEFo5B/cRg7CTeQf3BRL/vmcnlh+d0EkEpH9+/dLKBSSuro6GTZsmJSXl0t2drbbU+uy2tpaz84/2ebuOI7U1dVJYWGh+P2J/QblJznoOI4MHz48aX4HXZVsz2FXJdP83cg/r58Dk+n5645kmz/nwK5LtuewK5Jt7uRf1yXbc9hVyTT/ruRf0n1i4/f7paioSEREfD6fiIhkZ2e7/ks9GV6efzLNPdH/JfrEJzlYW1srIsn1O+gO5h8fPZ1/Ir3jHOjluYsk1/w5B3aPl+efTHMn/7qH+cdHrPlH8wAAAAAAnsfCBgAAAIDnJfXCJhgMyt133y3BYNDtqXSLl+fv5bnHi9d/B8zf+7z8O/Dy3EW8P/948PrvwMvz9/Lc48XrvwPm746kax4AAAAAAF2V1J/YAAAAAEAsWNgAAAAA8DwWNgAAAAA8j4UNAAAAAM9L2oXN8uXLpbi4WNLT02XSpEmyevVqt6dktWrVKpk1a5YUFhaKz+eT5557zvi54ziycOFCKSwslIyMDJk+fbps2bLFnclGWbx4sZx77rkSCoUkLy9PrrzyStm2bZsxJpnnn2jkYOKRg8dH/iUe+Xd85F/ikX8nRg4mXm/MwaRc2Dz11FMyb948ueuuu2Tjxo0ydepUmTlzpuzbt8/tqSkNDQ0yceJEWbZsmfXnS5YskaVLl8qyZctk/fr1UlBQIDNmzJC6uroenqlWVlYmc+bMkXXr1klpaam0t7dLSUmJNDQ0dIxJ5vknEjnYM8hBO/KvZ5B/duRfzyD/jo8c7Bm9MgedJHTeeec5s2fPNmLjx4937rzzTpdmFBsRcZ599tmO40gk4hQUFDj33ntvR6y5udnJyclxHnjgARdmeGKVlZWOiDhlZWWO43hv/vFEDrqDHDyG/HMH+XcM+ecO8u9T5KA7ekMOJt0nNq2trbJhwwYpKSkx4iUlJbJ27VqXZtU9u3fvloqKCuOxBINBmTZtWlI+lpqaGhERyc3NFRHvzT9eyEH3kIPkn5vIP/LPTeTfMeSge3pDDibdwqaqqkrC4bDk5+cb8fz8fKmoqHBpVt3zyXy98Fgcx5H58+fLRRddJBMmTBARb80/nshBd5CDx5B/7iD/jiH/3EH+fYocdEdvycEUtydwPD6fzzh2HEfFvMILj2Xu3LmyadMmef3119XPvDD/ROhNj9sLj4UcNPWmx+yFx0L+mXrTY/bCYyH/tN70uL3wWHpLDibdJzaDBg2SQCCgVoKVlZVqxZjsCgoKRESS/rHceuut8sILL8jKlSulqKioI+6V+ccbOdjzyMFPkX89j/z7FPnX88g/EznY83pTDibdwiYtLU0mTZokpaWlRry0tFSmTJni0qy6p7i4WAoKCozH0traKmVlZUnxWBzHkblz58qKFSvk1VdfleLiYuPnyT7/RCEHew45qJF/PYf808i/nkP+2ZGDPadX5mCPtSnogieffNJJTU11Hn74YWfr1q3OvHnznKysLGfPnj1uT02pq6tzNm7c6GzcuNEREWfp0qXOxo0bnb179zqO4zj33nuvk5OT46xYscLZvHmzc+211zpDhgxxamtrXZ6543z72992cnJynNdee805cOBAx6WxsbFjTDLPP5HIwZ5BDtqRfz2D/LMj/3oG+Xd85GDP6I05mJQLG8dxnPvvv98ZMWKEk5aW5pxzzjkdreeSzcqVKx0RUZfrr7/ecZxjrfLuvvtup6CgwAkGg87FF1/sbN682d1Jf8w2bxFxHnnkkY4xyTz/RCMHE48cPD7yL/HIv+Mj/xKP/DsxcjDxemMO+hzHceLz2Q8AAAAAuCPpamwAAAAAoKtY2AAAAADwPBY2AAAAADyPhQ0AAAAAz2NhAwAAAMDzWNgAAAAA8DwWNgAAAAA8j4UNAAAAAM9jYQMAAADA81jYAAAAAPA8FjYAAAAAPI+FDQAAAADP+/8B/2iDjOZjbpgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=7 test loss=124.9713\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=8 test loss=122.0934\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=9 test loss=120.3609\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch=10 test loss=118.2337\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Training\n",
    "model = VAE().to(device)\n",
    "optimizer = torch.optim.AdamW(model.parameters())\n",
    "\n",
    "for epoch in range(10):\n",
    "    test(model, epoch)\n",
    "    train(model, optimizer)\n",
    "    \n",
    "test(model, epoch+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x200 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generating new samples\n",
    "z = torch.randn(5, n_latent).to(device)\n",
    "x_hat = model.decoder(z)\n",
    "\n",
    "fig, axs = plt.subplots(1, 5, figsize=(10, 2))\n",
    "\n",
    "for i in range(5):\n",
    "    axs[i].imshow(x_hat[i].view(28, 28).detach().cpu().numpy())\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWUAAAC7CAYAAAC9xo9QAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAVA0lEQVR4nO3de3SU5Z0H8O8kJEMSJqORZiYDgUYJgqK0YGRJucTTTdqoHBFdL3QVrVqQBI1RWZDdJXpoQvGIUbl4WQWsC9rWCKxVlzlFAxi1SsPCggQvAVLJGGFpMkDM9dk/KKPD74XMfZ4Zvp9z5o98Z+Z9nzf58ctLnnmf16SUUiAiIi0kRHsARET0HTZlIiKNsCkTEWmETZmISCNsykREGmFTJiLSCJsyEZFG2JSJiDTCpkxEpBE2ZSIijfQL14ZXrFiBxx9/HM3Nzbj00ktRXV2NiRMn9vm+3t5eHDp0CBaLBSaTKVzDoziilILb7YbD4UBCgu/nGYHWKMA6Jf/4VaMqDF599VWVlJSkXnjhBbVnzx51//33q7S0NHXgwIE+39vU1KQA8MGH34+mpqaI1CjrlI9AH77UqEmp0C9ING7cOIwZMwYrV670ZCNHjsTUqVNRVVV11ve2trbivPPOwwRcjX5ICvXQKA51owvb8Bb+9re/wWq1+vSeYGoUYJ2Sf/yp0ZD/+aKzsxPbt2/HvHnzvPKioiLU1dWJ13d0dKCjo8Pztdvt/vvAktDPxGInH/z9tMLXPyP4W6MA65SC5EeNhnyi7/Dhw+jp6YHNZvPKbTYbXC6XeH1VVRWsVqvnkZ2dHeohEXnxt0YB1ilFTtg+fXH6bwSllOFvifnz56O1tdXzaGpqCteQiLz4WqMA65QiJ+R/vhg4cCASExPFGUdLS4s4MwEAs9kMs9kc6mEQnZG/NQqwTilyQn6mnJycjLFjx8LpdHrlTqcT+fn5od4dkd9Yo6SzsHxOuby8HLfddhuuuOIKjB8/Hs8//zwOHjyIWbNmhWN3RH5jjZKuwtKUb775Zhw5cgSPPfYYmpubMWrUKLz11lsYOnRoOHZH5DfWKOkqLJ9TDkZbWxusVisKcB0/akQ+6VZdeA8b0NraivT09Ijsk3VK/vCnRrn2BRGRRtiUiYg0wqZMRKQRNmUiIo2wKRMRaYRNmYhII2zKREQaYVMmItIImzIRkUbYlImINMKmTESkETZlIiKNsCkTEWmETZmISCNsykREGgnLIvd0kikpWWQHHrlCZEMmHRTZmyM2+LyfJFOiyLpUj8/vP90fT1hF9m/P3S6yQdV/Fpnq7g54v0TEM2UiIq2wKRMRaYRNmYhII2zKREQa4URfiPTLsovs08UOmf3jUz5tr9ePfXcZ3Pq2168teCtOPSqzB+S4L7XPEdmw+X8RmerqDHgsROcanikTEWmETZmISCNsykREGmFTJiLSCCf6ApCQmiqyC2pOiOzTIc9FYjg+c/fKCbeaY7kiK0zdJzJHP7PIdt/6jMimvjJDZGrHHl+HSCGUaMsUWe+6JJG9M+KPIutRcqL4N0dGiuz94otE1v3VIV+HGJR+OUNF1jk4Q2Rf3CSvrB1ZeUBk3c2u0AwsSDxTJiLSCJsyEZFG2JSJiDTCpkxEpBFO9PXBaFJv73I54bF+yLORGI6h8RWlPr0u6Zi89C993Ycie/L3PxXZjvyXfNpH+6A0kZl3+PRWCkLiJcNFlr26SWTLBm0TmdEVoUYevkBO2Lo2pIus9rf5hu+3P/ORDHvlErM9V40R2TeX9xfZvTPl8rZ3WeUyuEbyPpNXo9qe5kQfERGdhk2ZiEgjbMpERBphUyYi0ggn+vrgLr5MZHuLloV0H5dtuVtkF2xMEVnLOOP3D3vhg5CO58L7vhHZ084RIrvv/L0iO3Rbh8hy5AVjFISE/nLSq+EROcG6wWBSL9SeyJITxZhrkAH4+sF2n7ZpSZD1nGqSV+XFK54pExFphE2ZiEgjbMpERBrxuylv2bIFU6ZMgcPhgMlkwvr1672eV0qhoqICDocDKSkpKCgowO7du0M1XqI+sUYplvk90Xf8+HGMHj0ad955J2644Qbx/JIlS7B06VKsXr0aw4cPx6JFi1BYWIiGhgZYLJaQDDqSDt8sl+T01UcdcpnEGc57RDbiITlh1ut2iyx9XcBD8UtLcY7Irh7whsEr9ZwnjvcabXzkxyLbe1Xgk89X/lpe3aYMfrTX3/WeyB4ZuMvn/dgS5eR1JBzt/VZkg96Uy4t2R2IwPvD7X1VxcTGKi4sNn1NKobq6GgsWLMC0adMAAGvWrIHNZsPatWsxc+bM4EZL5APWKMWykP5NubGxES6XC0VFRZ7MbDZj8uTJqKurM3xPR0cH2travB5E4RJIjQKsU4qckDZll+vkgh42m80rt9lsnudOV1VVBavV6nlkZ2eHckhEXgKpUYB1SpETlk9fmEwmr6+VUiI7Zf78+WhtbfU8mprkylZEoeZPjQKsU4qckM7U2O12ACfPRrKysjx5S0uLODM5xWw2w2yW93+Lhn6DB4ns5Tzflqw0Urn/GpENn/mxyOTd0CKnozhPZFffv0Vkw5J8KxXHy3r8LM8kkBoFolenielyacyJP9sZ8PaK9kwTme35P4tMdctprw9XXSCyay+9U2Rf3CCvLvTHazc+JbLLkxMD3t64Nx8Q2fAv5THrIqRnyjk5ObDb7XA6nZ6ss7MTtbW1yM83XmOVKJJYo6Q7v8+Ujx07hs8//9zzdWNjI3bs2IGMjAwMGTIEZWVlqKysRG5uLnJzc1FZWYnU1FRMnz49pAMnOhPWKMUyv5vyJ598gquuusrzdXl5OQBgxowZWL16NebOnYv29nbMnj0bR48exbhx47Bp06aY+PwnxQfWKMUyv5tyQUEBlDrz/WNMJhMqKipQUVERzLiIAsYapVim5yVZ0ZIsr8AbHcSKgRMGfiGyDwZdKLLur+TVRf4wGUxAHSoZK7K0wq9F9solT4pscD/fJrT+cMwu97FbfqxMlyulYpHrlSyRbRi81qf37uyU979L/ZV8XbfBpJ4Ro6tM8aGcdLzIeOVOn92YJu85ue+6lQFvb8Rzx0QWzcn1vnBBIiIijbApExFphE2ZiEgjbMpERBrhRN/3qDY5kbH86MUiKzm/waftPXyBXNawfqtct/e4Cu7+Y0kmOaEzzuzr/dl8m9R741imyH47/eciUwe4LnEo5WftD/i9876Uy5YmNB4IYjSRMfrSwMf4i8YikalP5YS7znimTESkETZlIiKNsCkTEWmETZmISCOc6PuensNHRPbfd08QWcnrvk30Gfmx2ehaInkPMX8kGPxuDeaKpTePyyUaV99ytchUPSf1dOZ6Wy7E74Be60AfuWe8yJwXPmHwSjkh3dgt/90cu+t8kakO+e9aZzxTJiLSCJsyEZFG2JSJiDTCpkxEpBE2ZSIijfDTF33od6BFZCOds0TWUPh8JIZjKMkkbyrZdeY13vv00OZbRHbxrr8EvkEKu+v2TRHZoKc+EVkQZRG0ftmDRVb64OsiG5Dg26X/jxy8TmQ9DZ8bvDK28EyZiEgjbMpERBphUyYi0gibMhGRRjjR14fuZnkj0Ow/DBFZb2H0bsVoNKnXG8SF1nunLBfZJe1zRDbsgSDvkEl9+viZMSIb+wN5U9zBG5pFpro6wzKmQE16Sy5P8AuLHLeRRYcvF9mJa/Q6vlDhmTIRkUbYlImINMKmTESkETZlIiKNcKKvD/1+KCf17n3i9yHdx+dd3SI70psisjST8cTGL5+Wk3CYfFREa3/0ksiGJflWAk9e+7LInqm5WWQJW+t92h755ryXP5CZwevkrXOj5//ulGskA0B5xjKf3n+wu11kmx+V65qntn3k38BiBM+UiYg0wqZMRKQRNmUiIo2wKRMRaYQTfX04NsoususHyOU8ffVpp7zSruRfHhBZ+r42kfWkJhlu015XJ8MnZXTPzXI/KxY/JbKRyfJ39c9SW0X20qJDIusoThVZ74kTcjAUFxJH5ors8X99Lqht/nzdwyK7sEZOeMYrnikTEWmETZmISCNsykREGmFTJiLSCCf6+vD17fLqomBcv6lUZMN/J5fANFp40xTkvi2vyf3cbSkT2fuPPu3T9h7Ofltkvx50o3zhZ1/6tD2KPc1X/UBkP+nfFdQ2L3r9mMiieW/BSOOZMhGRRtiUiYg0wqZMRKQRv5pyVVUV8vLyYLFYkJmZialTp6KhwfsWL0opVFRUwOFwICUlBQUFBdi9e3dIB010JqxRinV+TfTV1taipKQEeXl56O7uxoIFC1BUVIQ9e/YgLS0NALBkyRIsXboUq1evxvDhw7Fo0SIUFhaioaEBFoslLAehq1faskV2yW++EZlcuDN4CanyyjrXnT8S2TX3bA14H/ftvkVkAz/bF/D2QoE1Gj6JtkyR/dOsPwW1zUkPl4gs/ZP4XJLTV3415Xfeecfr61WrViEzMxPbt2/HpEmToJRCdXU1FixYgGnTpgEA1qxZA5vNhrVr12LmzJmhGzmRAdYoxbqg/qbc2npyPYSMjAwAQGNjI1wuF4qKijyvMZvNmDx5MuqM1mcA0NHRgba2Nq8HUaiEokYB1ilFTsBNWSmF8vJyTJgwAaNGjQIAuFwuAIDNZvN6rc1m8zx3uqqqKlitVs8jO1v+l58oEKGqUYB1SpETcFMuLS3Fzp07sW7dOvGcyeR9mYNSSmSnzJ8/H62trZ5HU1NToEMi8hKqGgVYpxQ5AV3RN2fOHGzcuBFbtmzB4MGDPbndfnKZS5fLhaysLE/e0tIizkxOMZvNMJvNgQwjIuxr+svwJ76995/T5T/cb9+Uy28u3zNZZO3fyIm62/PfN9xPgsH1Tv0TjousLEMu0+mr2nY5Husz6QFvL9xCWaOA/nUaCZ8uGiqyDRfIqzrPxOjee5ZGgytm1bl0/Z7k15myUgqlpaWoqanB5s2bkZOT4/V8Tk4O7HY7nE6nJ+vs7ERtbS3y8/NDM2Kis2CNUqzz60y5pKQEa9euxYYNG2CxWDx/g7NarUhJSYHJZEJZWRkqKyuRm5uL3NxcVFZWIjU1FdOnTw/LARB9H2uUYp1fTXnlypUAgIKCAq981apVuOOOOwAAc+fORXt7O2bPno2jR49i3Lhx2LRpEz//SRHBGqVY51dTVj78rcdkMqGiogIVFRWBjokoYKxRinVcurMP/Q+F9v5yd1vlMpZ3jw9uacsEg6mBXsPFPwM3651fiix307l95VU8M+VdJrJ1P302qG3e/tCDIhvwAWvodFyQiIhII2zKREQaYVMmItIImzIRkUY40deX//1MRNfe8iuR3fUf60V2/YCWcIwopD7qkFcY/nvpPSK7ePP/iCy0U4kULSaDKxUzqv8qsrE+XtD4J4OrPwHAsr5eZOf2tXvGeKZMRKQRNmUiIo2wKRMRaYRNmYhII5zo64Pq6hRZwlY5YVG18laR9S95WWTFqUcDHkvpXwsM8/YeOVlX98nFIhvytpyaS9m2V2Rm98ci46Re/DpRPFpk//XDlQFvr3zNXYZ5dteZ7+xC3+GZMhGRRtiUiYg0wqZMRKQRNmUiIo1woi9E7NVyEmNl9TCZBbUXed+9M8mFb0sicgKPXP+QGPB7f3csU2Q5L+03fG13wHs5t/BMmYhII2zKREQaYVMmItIImzIRkUY40Ud0jhv2klxi9j+nZonspgFyOc9H37hJZDlffRCagZ2jeKZMRKQRNmUiIo2wKRMRaYRNmYhII5zoIzrH9ez7QmTrRjhkBpnlgJN6ocYzZSIijbApExFphE2ZiEgj2v1NWSkFAOhGF6CiPBiKCd3oAvBd7UQC65T84U+NateU3W43AGAb3orySCjWuN1uWK3WiO0LYJ2Sf3ypUZOK5OmFD3p7e3Ho0CFYLBa43W5kZ2ejqakJ6enp0R5awNra2uLiOAA9j0UpBbfbDYfDgYSEyPxF7lSdKqUwZMgQrb4fgdDx5xooHY/FnxrV7kw5ISEBgwcPBgCYTCYAQHp6ujbf3GDEy3EA+h1LpM6QTzlVp21tbQD0+34EKl6OA9DvWHytUU70ERFphE2ZiEgjWjdls9mMhQsXwmw2R3soQYmX4wDi61hCIV6+H/FyHEDsH4t2E31EROcyrc+UiYjONWzKREQaYVMmItIImzIRkUbYlImINKJtU16xYgVycnLQv39/jB07Flu3bo32kPq0ZcsWTJkyBQ6HAyaTCevXr/d6XimFiooKOBwOpKSkoKCgALt3747OYM+iqqoKeXl5sFgsyMzMxNSpU9HQ0OD1mlg5lnCLtTpljep3LKfTsim/9tprKCsrw4IFC1BfX4+JEyeiuLgYBw8ejPbQzur48eMYPXo0li1bZvj8kiVLsHTpUixbtgwff/wx7HY7CgsLPYvb6KK2thYlJSX48MMP4XQ60d3djaKiIhw/ftzzmlg5lnCKxTpljep3LILS0JVXXqlmzZrllY0YMULNmzcvSiPyHwD1xhtveL7u7e1VdrtdLV682JN9++23ymq1qmeffTYKI/RdS0uLAqBqa2uVUrF9LKEU63XKGtWTdmfKnZ2d2L59O4qKirzyoqIi1NXVRWlUwWtsbITL5fI6LrPZjMmTJ2t/XK2trQCAjIwMALF9LKESj3Uayz/XeKpR7Zry4cOH0dPTA5vN5pXbbDa4XK4ojSp4p8Yea8ellEJ5eTkmTJiAUaNGAYjdYwmleKzTWP25xluNard05ymnlu08RSklslgUa8dVWlqKnTt3Ytu2beK5WDuWcIjH70GsHVO81ah2Z8oDBw5EYmKi+G3W0tIifuvFErvdDgAxdVxz5szBxo0b8e6773rWuAZi81hCLR7rNBZ/rvFYo9o15eTkZIwdOxZOp9MrdzqdyM/Pj9KogpeTkwO73e51XJ2dnaitrdXuuJRSKC0tRU1NDTZv3oycnByv52PpWMIlHus0ln6ucV2j0ZphPJtXX31VJSUlqRdffFHt2bNHlZWVqbS0NLV///5oD+2s3G63qq+vV/X19QqAWrp0qaqvr1cHDhxQSim1ePFiZbVaVU1Njdq1a5e69dZbVVZWlmpra4vyyL3de++9ymq1qvfee081Nzd7HidOnPC8JlaOJZxisU5Zo/ody+m0bMpKKbV8+XI1dOhQlZycrMaMGeP5qIvO3n33XYWT9zb2esyYMUMpdfJjOgsXLlR2u12ZzWY1adIktWvXrugO2oDRMQBQq1at8rwmVo4l3GKtTlmj+h3L6bieMhGRRrT7mzIR0bmMTZmISCNsykREGmFTJiLSCJsyEZFG2JSJiDTCpkxEpBE2ZSIijbApExFphE2ZiEgjbMpERBr5f3LlkAD1EiY3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Interpolation\n",
    "batch = next(iter(test_loader))\n",
    "x = batch[0][:10].to(device)\n",
    "z = model.encoder(x.view(-1, 784))\n",
    "mu = z[:, :n_latent]\n",
    "a, b = 0, 1\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(4, 2))\n",
    "axs[0].imshow(x[a].squeeze().cpu().numpy())\n",
    "axs[1].imshow(x[b].squeeze().cpu().numpy())   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x800 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Latent interpolation\n",
    "N = 20\n",
    "z = torch.zeros(N, n_latent).to(device)\n",
    "\n",
    "for i in range(N):\n",
    "    z[i] = i / (N - 1) * mu[b] + (1 - i / (N - 1)) * mu[a]\n",
    "\n",
    "x_hat = model.decoder(z)\n",
    "\n",
    "fig, axs = plt.subplots(N // 5, 5, figsize=(10, 2 * (N // 5)))\n",
    "\n",
    "for i in range(N // 5):\n",
    "    for j in range(5):\n",
    "        axs[i, j].imshow(x_hat[i*5+j].view(28, 28).detach().cpu().numpy())  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x800 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Linear interpolation\n",
    "N = 20\n",
    "x = x.view(-1, 784)\n",
    "x_hat = torch.zeros(N, 784).to(device)\n",
    "\n",
    "for i in range(N):\n",
    "    x_hat[i] = i / (N - 1) * x[b] + (1 - i / (N - 1)) * x[a]\n",
    "\n",
    "fig, axs = plt.subplots(N // 5, 5, figsize=(10, 2 * (N // 5)))\n",
    "\n",
    "for i in range(N // 5):\n",
    "    for j in range(5):\n",
    "        axs[i, j].imshow(x_hat[i*5+j].view(28, 28).detach().cpu().numpy())  \n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:torch-cpu] *",
   "language": "python",
   "name": "conda-env-torch-cpu-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
